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312290328 = 23372299157
BaseRepresentation
bin10010100111010…
…010110000011000
3210202121222210110
4102213102300120
51114421242303
650553244320
710511265300
oct2247226030
9722558713
10312290328
11150309389
12887036a0
134c911c9c
142d692600
151c63a703
hex129d2c18

312290328 has 96 divisors (see below), whose sum is σ = 939610800. Its totient is φ = 86139648.

The previous prime is 312290291. The next prime is 312290347. The reversal of 312290328 is 823092213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312290295 and 312290304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29526 + ... + 38682.

Almost surely, 2312290328 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 312290328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469805400).

312290328 is an abundant number, since it is smaller than the sum of its proper divisors (627320472).

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

312290328 is a wasteful number, since it uses less digits than its factorization.

312290328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9209 (or 9198 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 312290328 is about 17671.7381148545. The cubic root of 312290328 is about 678.4526002272.

The spelling of 312290328 in words is "three hundred twelve million, two hundred ninety thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 4263 4872 5684 8526 9157 11368 17052 18314 27471 34104 36628 54942 64099 73256 109884 128198 192297 219768 256396 265553 384594 448693 512792 531106 769188 796659 897386 1062212 1346079 1538376 1593318 1794772 1858871 2124424 2692158 3186636 3589544 3717742 5384316 5576613 6373272 7435484 10768632 11153226 13012097 14870968 22306452 26024194 39036291 44612904 52048388 78072582 104096776 156145164 312290328