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312085104 = 2436501773
BaseRepresentation
bin10010100110100…
…000101001110000
3210202020120021120
4102212200221300
51114343210404
650545022240
710506452052
oct2246405160
9722216246
10312085104
11150189181
1288624980
134c86c756
142d63b8d2
151c5e99d9
hex129a0a70

312085104 has 20 divisors (see below), whose sum is σ = 806219976. Its totient is φ = 104028352.

The previous prime is 312085073. The next prime is 312085199. The reversal of 312085104 is 401580213.

It is a super-2 number, since 2×3120851042 = 194794224277381632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3250839 + ... + 3250934.

Almost surely, 2312085104 is an apocalyptic number.

It is an amenable number.

312085104 is an abundant number, since it is smaller than the sum of its proper divisors (494134872).

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

312085104 is a wasteful number, since it uses less digits than its factorization.

312085104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501784 (or 6501778 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 312085104 is about 17665.9306010184. The cubic root of 312085104 is about 678.3039508724.

The spelling of 312085104 in words is "three hundred twelve million, eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 6501773 13003546 19505319 26007092 39010638 52014184 78021276 104028368 156042552 312085104