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312897034384 = 24112127132
BaseRepresentation
bin1001000110110100001…
…11011101100010010000
31002220122022222020221021
410203122013131202100
520111303120100014
6355424245205224
731414610623564
oct4433207354220
91086568866837
10312897034384
11110776245100
1250784700814
1323676a8bcbc
1411203d476a4
158214a72624
hex48da1dd890

312897034384 has 45 divisors (see below), whose sum is σ = 666413201209. Its totient is φ = 142214737280.

The previous prime is 312897034369. The next prime is 312897034393. The reversal of 312897034384 is 483430798213.

The square root of 312897034384 is 559372.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 296480250000 + 16416784384 = 544500^2 + 128128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24606012 + ... + 24618724.

Almost surely, 2312897034384 is an apocalyptic number.

312897034384 is the 559372-nd square number.

It is an amenable number.

312897034384 is an abundant number, since it is smaller than the sum of its proper divisors (353516166825).

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

312897034384 is an frugal number, since it uses more digits than its factorization.

312897034384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25456 (or 12726 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 312897034384 in words is "three hundred twelve billion, eight hundred ninety-seven million, thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 12713 25426 50852 101704 139843 203408 279686 559372 1118744 1538273 2237488 3076546 6153092 12306184 24612368 161620369 323240738 646481476 1292962952 1777824059 2585925904 3555648118 7111296236 14222592472 19556064649 28445184944 39112129298 78224258596 156448517192 312897034384