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312328680 = 23357093671
BaseRepresentation
bin10010100111011…
…100000111101000
3210202200221101220
4102213130013220
51114424004210
650554142040
710511515146
oct2247340750
9722627356
10312328680
11150335184
1288721920
134c926591
142d6a2596
151c646c70
hex129dc1e8

312328680 has 64 divisors (see below), whose sum is σ = 938563200. Its totient is φ = 83147520.

The previous prime is 312328673. The next prime is 312328721. The reversal of 312328680 is 86823213.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83245 + ... + 86915.

It is an arithmetic number, because the mean of its divisors is an integer number (14665050).

Almost surely, 2312328680 is an apocalyptic number.

312328680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312328680 is an abundant number, since it is smaller than the sum of its proper divisors (626234520).

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

312328680 is a wasteful number, since it uses less digits than its factorization.

312328680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 312328680 is about 17672.8232040045. The cubic root of 312328680 is about 678.4803724066.

The spelling of 312328680 in words is "three hundred twelve million, three hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 709 1418 2127 2836 3545 3671 4254 5672 7090 7342 8508 10635 11013 14180 14684 17016 18355 21270 22026 28360 29368 36710 42540 44052 55065 73420 85080 88104 110130 146840 220260 440520 2602739 5205478 7808217 10410956 13013695 15616434 20821912 26027390 31232868 39041085 52054780 62465736 78082170 104109560 156164340 312328680