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312085136 = 24112161201
BaseRepresentation
bin10010100110100…
…000101010010000
3210202020120022202
4102212200222100
51114343211021
650545022332
710506452126
oct2246405220
9722216282
10312085136
11150189200
12886249a8
134c86c77c
142d63b916
151c5e9a0b
hex129a0a90

312085136 has 30 divisors (see below), whose sum is σ = 664635846. Its totient is φ = 141856000.

The previous prime is 312085073. The next prime is 312085199. The reversal of 312085136 is 631580213.

It is an interprime number because it is at equal distance from previous prime (312085073) and next prime (312085199).

It can be written as a sum of positive squares in only one way, i.e., 311310736 + 774400 = 17644^2 + 880^2 .

It is a super-2 number, since 2×3120851362 = 194794264224276992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312085099 and 312085108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78665 + ... + 82536.

Almost surely, 2312085136 is an apocalyptic number.

It is an amenable number.

312085136 is an abundant number, since it is smaller than the sum of its proper divisors (352550710).

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

312085136 is a wasteful number, since it uses less digits than its factorization.

312085136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161231 (or 161214 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 312085136 is about 17665.9315067165. The cubic root of 312085136 is about 678.3039740560.

The spelling of 312085136 in words is "three hundred twelve million, eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 161201 322402 644804 1289608 1773211 2579216 3546422 7092844 14185688 19505321 28371376 39010642 78021284 156042568 312085136