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312387966 = 232113742641
BaseRepresentation
bin10010100111101…
…010100101111110
3210202210221201200
4102213222211332
51114432403331
650555320330
710512153042
oct2247524576
9722727650
10312387966
11150375780
12887500a6
134c947567
142d6ba022
151c6595e6
hex129ea97e

312387966 has 48 divisors (see below), whose sum is σ = 758345328. Its totient is φ = 92102400.

The previous prime is 312387947. The next prime is 312387973. The reversal of 312387966 is 669783213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13995 + ... + 28646.

It is an arithmetic number, because the mean of its divisors is an integer number (15798861).

Almost surely, 2312387966 is an apocalyptic number.

312387966 is an abundant number, since it is smaller than the sum of its proper divisors (445957362).

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

312387966 is a wasteful number, since it uses less digits than its factorization.

312387966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42697 (or 42694 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 312387966 is about 17674.5004455572. The cubic root of 312387966 is about 678.5232992388.

It can be divided in two parts, 31238 and 7966, that added together give a square (39204 = 1982).

The spelling of 312387966 in words is "three hundred twelve million, three hundred eighty-seven thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 42641 85282 127923 255846 383769 469051 767538 938102 1407153 1577717 2814306 3155434 4221459 4733151 8442918 9466302 14199453 17354887 28398906 34709774 52064661 104129322 156193983 312387966