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312714368 = 2719112791
BaseRepresentation
bin10010101000111…
…010010010000000
3210210102112110122
4102220322102000
51120023324433
651010315412
710515012461
oct2250722200
9723375418
10312714368
11150578a2a
1288888b68
134ca2ccb5
142d762d68
151c6c1198
hex12a3a480

312714368 has 32 divisors (see below), whose sum is σ = 626296320. Its totient is φ = 155526400.

The previous prime is 312714349. The next prime is 312714373. The reversal of 312714368 is 863417213.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18053 + ... + 30843.

It is an arithmetic number, because the mean of its divisors is an integer number (19571760).

Almost surely, 2312714368 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 312714368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313148160).

312714368 is an abundant number, since it is smaller than the sum of its proper divisors (313581952).

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

312714368 is a wasteful number, since it uses less digits than its factorization.

312714368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12996 (or 12984 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 312714368 is about 17683.7317328668. The cubic root of 312714368 is about 678.7595378216.

The spelling of 312714368 in words is "three hundred twelve million, seven hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 191 382 764 1528 3056 6112 12224 12791 24448 25582 51164 102328 204656 409312 818624 1637248 2443081 4886162 9772324 19544648 39089296 78178592 156357184 312714368