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307859968 = 2913232011
BaseRepresentation
bin10010010110011…
…001001000000000
3210110021220111001
4102112121020000
51112303004333
650314301344
710425523633
oct2226311000
9713256431
10307859968
11148862829
1287127854
134ba20580
142cc5bc1a
151c062b7d
hex12599200

307859968 has 80 divisors (see below), whose sum is σ = 691580736. Its totient is φ = 135843840.

The previous prime is 307859957. The next prime is 307859999. The reversal of 307859968 is 869958703.

It is a happy number.

It is a super-2 number, since 2×3078599682 = 189555519793922048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152083 + ... + 154093.

Almost surely, 2307859968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345790368).

307859968 is an abundant number, since it is smaller than the sum of its proper divisors (383720768).

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

307859968 is a wasteful number, since it uses less digits than its factorization.

307859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The square root of 307859968 is about 17545.9387893609. The cubic root of 307859968 is about 675.2289798362.

The spelling of 307859968 in words is "three hundred seven million, eight hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1196 1472 1664 2011 2392 2944 3328 4022 4784 5888 6656 8044 9568 11776 16088 19136 26143 32176 38272 46253 52286 64352 76544 92506 104572 128704 153088 185012 209144 257408 370024 418288 514816 601289 740048 836576 1029632 1202578 1480096 1673152 2405156 2960192 3346304 4810312 5920384 6692608 9620624 11840768 13385216 19241248 23681536 38482496 76964992 153929984 307859968