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313254312 = 233743103421
BaseRepresentation
bin10010101010111…
…110000110101000
3210211102222010120
4102222332012220
51120143114222
651030043240
710522421610
oct2252760650
9724388116
10313254312
11150907668
1288aa9520
134cb8b9a7
142d863a40
151c77b15c
hex12abe1a8

313254312 has 128 divisors (see below), whose sum is σ = 926914560. Its totient is φ = 86365440.

The previous prime is 313254307. The next prime is 313254313. The reversal of 313254312 is 213452313.

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

It is not an unprimeable number, because it can be changed into a prime (313254313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743862 + ... + 744282.

It is an arithmetic number, because the mean of its divisors is an integer number (7241520).

Almost surely, 2313254312 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 313254312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463457280).

313254312 is an abundant number, since it is smaller than the sum of its proper divisors (613660248).

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

313254312 is a wasteful number, since it uses less digits than its factorization.

313254312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 313254312 is about 17698.9918356950. The cubic root of 313254312 is about 679.1499701634.

The spelling of 313254312 in words is "three hundred thirteen million, two hundred fifty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 103 129 168 172 206 258 301 309 344 412 421 516 602 618 721 824 842 903 1032 1204 1236 1263 1442 1684 1806 2163 2408 2472 2526 2884 2947 3368 3612 4326 4429 5052 5768 5894 7224 8652 8841 8858 10104 11788 13287 17304 17682 17716 18103 23576 26574 31003 35364 35432 36206 43363 53148 54309 62006 70728 72412 86726 93009 106296 108618 124012 126721 130089 144824 173452 186018 217236 248024 253442 260178 303541 346904 372036 380163 434472 506884 520356 607082 744072 760326 910623 1013768 1040712 1214164 1520652 1821246 1864609 2428328 3041304 3642492 3729218 5593827 7284984 7458436 11187654 13052263 14916872 22375308 26104526 39156789 44750616 52209052 78313578 104418104 156627156 313254312