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312150096 = 24323476247
BaseRepresentation
bin10010100110110…
…000100001010000
3210202100212102200
4102212300201100
51114402300341
650550243200
710510142406
oct2246604120
9722325380
10312150096
11150222a95
1288656500
134c8931cb
142d657476
151c60ddb6
hex129b0850

312150096 has 60 divisors (see below), whose sum is σ = 876244512. Its totient is φ = 103733568.

The previous prime is 312150079. The next prime is 312150101. The reversal of 312150096 is 690051213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46845 + ... + 53091.

Almost surely, 2312150096 is an apocalyptic number.

312150096 is a gapful number since it is divisible by the number (36) 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 312150096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438122256).

312150096 is an abundant number, since it is smaller than the sum of its proper divisors (564094416).

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

312150096 is a wasteful number, since it uses less digits than its factorization.

312150096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 312150096 is about 17667.7699781268. The cubic root of 312150096 is about 678.3510334043.

The spelling of 312150096 in words is "three hundred twelve million, one hundred fifty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 347 694 1041 1388 2082 2776 3123 4164 5552 6246 6247 8328 12492 12494 16656 18741 24984 24988 37482 49968 49976 56223 74964 99952 112446 149928 224892 299856 449784 899568 2167709 4335418 6503127 8670836 13006254 17341672 19509381 26012508 34683344 39018762 52025016 78037524 104050032 156075048 312150096