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3319004040 = 23351111232239
BaseRepresentation
bin1100010111010011…
…1111101110001000
322120022021212121120
43011310333232020
523244131112130
61305201435240
7145151032422
oct30564775610
98508255546
103319004040
111453544950
1278763bb20
1340b807321
14236b25812
151465a8910
hexc5d3fb88

3319004040 has 128 divisors (see below), whose sum is σ = 10876723200. Its totient is φ = 803531520.

The previous prime is 3319004023. The next prime is 3319004069. The reversal of 3319004040 is 404009133.

It is a super-2 number, since 2×33190040402 = 22031575635072643200, 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 3319004040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1481241 + ... + 1483479.

It is an arithmetic number, because the mean of its divisors is an integer number (84974400).

Almost surely, 23319004040 is an apocalyptic number.

3319004040 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 3319004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438361600).

3319004040 is an abundant number, since it is smaller than the sum of its proper divisors (7557719160).

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

3319004040 is a wasteful number, since it uses less digits than its factorization.

3319004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3319004040 is about 57610.7979462184. The cubic root of 3319004040 is about 1491.6579955316.

The spelling of 3319004040 in words is "three billion, three hundred nineteen million, four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1123 1320 2239 2246 3369 4478 4492 5615 6717 6738 8956 8984 11195 11230 12353 13434 13476 16845 17912 22390 22460 24629 24706 26868 26952 33585 33690 37059 44780 44920 49258 49412 53736 61765 67170 67380 73887 74118 89560 98516 98824 123145 123530 134340 134760 147774 148236 185295 197032 246290 247060 268680 295548 296472 369435 370590 492580 494120 591096 738870 741180 985160 1477740 1482360 2514397 2955480 5028794 7543191 10057588 12571985 15086382 20115176 25143970 27658367 30172764 37715955 50287940 55316734 60345528 75431910 82975101 100575880 110633468 138291835 150863820 165950202 221266936 276583670 301727640 331900404 414875505 553167340 663800808 829751010 1106334680 1659502020 3319004040