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307469952 = 2733432069
BaseRepresentation
bin10010010100111…
…001111010000000
3210102120002111000
4102110321322000
51112203014302
650302052000
710422310566
oct2224717200
9712502430
10307469952
111486167a9
1286b7a000
134b914baa
142cb99a36
151bed731c
hex12539e80

307469952 has 128 divisors (see below), whose sum is σ = 929016000. Its totient is φ = 100058112.

The previous prime is 307469927. The next prime is 307469971. The reversal of 307469952 is 259964703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 307469898 and 307469907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147574 + ... + 149642.

Almost surely, 2307469952 is an apocalyptic number.

307469952 is a gapful number since it is divisible by the number (32) 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 307469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464508000).

307469952 is an abundant number, since it is smaller than the sum of its proper divisors (621546048).

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

307469952 is a wasteful number, since it uses less digits than its factorization.

307469952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 307469952 is about 17534.8211282579. The cubic root of 307469952 is about 674.9437187642.

The spelling of 307469952 in words is "three hundred seven million, four hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 258 288 344 384 387 432 516 576 688 774 864 1032 1152 1161 1376 1548 1728 2064 2069 2322 2752 3096 3456 4128 4138 4644 5504 6192 6207 8256 8276 9288 12384 12414 16512 16552 18576 18621 24768 24828 33104 37152 37242 49536 49656 55863 66208 74304 74484 88967 99312 111726 132416 148608 148968 177934 198624 223452 264832 266901 297936 355868 397248 446904 533802 595872 711736 794496 800703 893808 1067604 1191744 1423472 1601406 1787616 2135208 2383488 2402109 2846944 3202812 3575232 4270416 4804218 5693888 6405624 7150464 8540832 9608436 11387776 12811248 17081664 19216872 25622496 34163328 38433744 51244992 76867488 102489984 153734976 307469952