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3071012640 = 25358971887
BaseRepresentation
bin1011011100001011…
…1110111100100000
321221000122121100220
42313002332330200
522242134401030
61224422243040
7136050114423
oct26702767440
97830577326
103071012640
111336563283
12718586480
1339c318c57
14211c0d9ba
1512e91ea10
hexb70bef20

3071012640 has 96 divisors (see below), whose sum is σ = 9782519040. Its totient is φ = 809723904.

The previous prime is 3071012621. The next prime is 3071012653. The reversal of 3071012640 is 462101703.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×30710126402 = 18862237270079539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3071012640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6777 + ... + 78663.

It is an arithmetic number, because the mean of its divisors is an integer number (101901240).

Almost surely, 23071012640 is an apocalyptic number.

3071012640 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 3071012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891259520).

3071012640 is an abundant number, since it is smaller than the sum of its proper divisors (6711506400).

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

3071012640 is a wasteful number, since it uses less digits than its factorization.

3071012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71994 (or 71986 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3071012640 is about 55416.7180551140. The cubic root of 3071012640 is about 1453.5407151997.

The spelling of 3071012640 in words is "three billion, seventy-one million, twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1780 2136 2670 2848 3560 4272 5340 7120 8544 10680 14240 21360 42720 71887 143774 215661 287548 359435 431322 575096 718870 862644 1078305 1150192 1437740 1725288 2156610 2300384 2875480 3450576 4313220 5750960 6397943 6901152 8626440 11501920 12795886 17252880 19193829 25591772 31989715 34505760 38387658 51183544 63979430 76775316 95969145 102367088 127958860 153550632 191938290 204734176 255917720 307101264 383876580 511835440 614202528 767753160 1023670880 1535506320 3071012640