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312314292 = 2235321311
BaseRepresentation
bin10010100111011…
…000100110110100
3210202200012200000
4102213120212310
51114423024132
650553551300
710511425203
oct2247304664
9722605600
10312314292
11150325394
1288715530
134c91cb74
142d69b23a
151c64287c
hex129d89b4

312314292 has 36 divisors (see below), whose sum is σ = 818702976. Its totient is φ = 104104440.

The previous prime is 312314287. The next prime is 312314323. The reversal of 312314292 is 292413213.

It is a happy number.

312314292 is a `hidden beast` number, since 3 + 1 + 231 + 429 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3123142922 = 195080433974922528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 159684 + ... + 161627.

Almost surely, 2312314292 is an apocalyptic number.

It is an amenable number.

312314292 is an abundant number, since it is smaller than the sum of its proper divisors (506388684).

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

312314292 is a wasteful number, since it uses less digits than its factorization.

312314292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321330 (or 321316 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 312314292 is about 17672.4161336247. The cubic root of 312314292 is about 678.4699537610.

The spelling of 312314292 in words is "three hundred twelve million, three hundred fourteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 321311 642622 963933 1285244 1927866 2891799 3855732 5783598 8675397 11567196 17350794 26026191 34701588 52052382 78078573 104104764 156157146 312314292