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3196016640 = 21132534679
BaseRepresentation
bin1011111001111111…
…0101100000000000
322020201212110121200
42332133311200000
523021140013030
61245045421200
7142125456525
oct27637654000
98221773550
103196016640
1113a0082673
1275240a800
133bc1a570b
1422466d14c
1513a8b2d60
hexbe7f5800

3196016640 has 144 divisors (see below), whose sum is σ = 11077138800. Its totient is φ = 852246528.

The previous prime is 3196016639. The next prime is 3196016671. The reversal of 3196016640 is 466106913.

3196016640 is a `hidden beast` number, since 3 + 1 + 9 + 6 + 0 + 1 + 6 + 640 = 666.

3196016640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3196016595 and 3196016604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74821 + ... + 109499.

It is an arithmetic number, because the mean of its divisors is an integer number (76924575).

Almost surely, 23196016640 is an apocalyptic number.

3196016640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3196016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538569400).

3196016640 is an abundant number, since it is smaller than the sum of its proper divisors (7881122160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3196016640 is a wasteful number, since it uses less digits than its factorization.

3196016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34712 (or 34689 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3196016640 is about 56533.3232704394. The cubic root of 3196016640 is about 1473.0008945812. Note that the first 3 decimals are identical.

It can be divided in two parts, 3196016 and 640, that added together give a triangular number (3196656 = T2528).

The spelling of 3196016640 in words is "three billion, one hundred ninety-six million, sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 34679 46080 69358 92160 104037 138716 173395 208074 277432 312111 346790 416148 520185 554864 624222 693580 832296 1040370 1109728 1248444 1387160 1560555 1664592 2080740 2219456 2496888 2774320 3121110 3329184 4161480 4438912 4993776 5548640 6242220 6658368 8322960 8877824 9987552 11097280 12484440 13316736 16645920 17755648 19975104 22194560 24968880 26633472 33291840 35511296 39950208 44389120 49937760 53266944 66583680 71022592 79900416 88778240 99875520 106533888 133167360 159800832 177556480 199751040 213067776 266334720 319601664 355112960 399502080 532669440 639203328 799004160 1065338880 1598008320 3196016640