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313024434 = 2317232943107
BaseRepresentation
bin10010101010000…
…101111110110010
3210211000021210120
4102222011332302
51120113240214
651021111110
710520443452
oct2252057662
9724007716
10313024434
1115076a988
12889b8496
134cb0b178
142d803d62
151c732ea9
hex12a85fb2

313024434 has 128 divisors (see below), whose sum is σ = 739031040. Its totient is φ = 87757824.

The previous prime is 313024429. The next prime is 313024471. The reversal of 313024434 is 434420313.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2925409 + ... + 2925515.

It is an arithmetic number, because the mean of its divisors is an integer number (5773680).

Almost surely, 2313024434 is an apocalyptic number.

313024434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

313024434 is an abundant number, since it is smaller than the sum of its proper divisors (426006606).

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

313024434 is a wasteful number, since it uses less digits than its factorization.

313024434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 313024434 is about 17692.4965451459. The cubic root of 313024434 is about 678.9838007650.

Adding to 313024434 its reverse (434420313), we get a palindrome (747444747).

The spelling of 313024434 in words is "three hundred thirteen million, twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 17 23 29 34 43 46 51 58 69 86 87 102 107 129 138 174 214 258 321 391 493 642 667 731 782 986 989 1173 1247 1334 1462 1479 1819 1978 2001 2193 2346 2461 2494 2958 2967 3103 3638 3741 4002 4386 4601 4922 5457 5934 6206 7383 7482 9202 9309 10914 11339 13803 14766 16813 18618 21199 22678 27606 28681 33626 34017 41837 42398 50439 52751 57362 63597 68034 71369 78217 83674 86043 100878 105502 105823 125511 127194 133429 142738 156434 158253 172086 211646 214107 234651 251022 266858 316506 317469 400287 428214 469302 487577 634938 800574 975154 1213273 1462731 1798991 2268293 2426546 2925462 3068867 3597982 3639819 4536586 5396973 6137734 6804879 7279638 9206601 10793946 13609758 18413202 52170739 104341478 156512217 313024434