Search a number
-
+
307497216 = 28313191621
BaseRepresentation
bin10010010101000…
…000100100000000
3210102121110212210
4102111000210000
51112204402331
650302422120
710422453225
oct2225004400
9712543783
10307497216
11148635234
1286b91940
134b924420
142cba594c
151bee0446
hex12540900

307497216 has 144 divisors (see below), whose sum is σ = 928303040. Its totient is φ = 89579520.

The previous prime is 307497209. The next prime is 307497247. The reversal of 307497216 is 612794703.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188886 + ... + 190506.

Almost surely, 2307497216 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 307497216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464151520).

307497216 is an abundant number, since it is smaller than the sum of its proper divisors (620805824).

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

307497216 is a wasteful number, since it uses less digits than its factorization.

307497216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 307497216 is about 17535.5985355505. The cubic root of 307497216 is about 674.9636677289.

The spelling of 307497216 in words is "three hundred seven million, four hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 608 624 741 768 832 912 988 1216 1248 1482 1621 1664 1824 1976 2432 2496 2964 3242 3328 3648 3952 4863 4864 4992 5928 6484 7296 7904 9726 9984 11856 12968 14592 15808 19452 21073 23712 25936 30799 31616 38904 42146 47424 51872 61598 63219 63232 77808 84292 92397 94848 103744 123196 126438 155616 168584 184794 189696 207488 246392 252876 311232 337168 369588 400387 414976 492784 505752 622464 674336 739176 800774 985568 1011504 1201161 1244928 1348672 1478352 1601548 1971136 2023008 2402322 2697344 2956704 3203096 3942272 4046016 4804644 5394688 5913408 6406192 7884544 8092032 9609288 11826816 12812384 16184064 19218576 23653632 25624768 38437152 51249536 76874304 102499072 153748608 307497216