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313812840 = 233511237737
BaseRepresentation
bin10010101101000…
…110011101101000
3210212111100021210
4102231012131220
51120314002330
651050033120
710530236145
oct2255063550
9725440253
10313812840
11151159260
12891187a0
1350025c93
142d96b3cc
151c83b8b0
hex12b46768

313812840 has 64 divisors (see below), whose sum is σ = 1027028160. Its totient is φ = 76075520.

The previous prime is 313812833. The next prime is 313812847. The reversal of 313812840 is 48218313.

It is an interprime number because it is at equal distance from previous prime (313812833) and next prime (313812847).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 313812798 and 313812807.

It is not an unprimeable number, because it can be changed into a prime (313812847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117549 + ... + 120188.

It is an arithmetic number, because the mean of its divisors is an integer number (16047315).

Almost surely, 2313812840 is an apocalyptic number.

313812840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313812840 is an abundant number, since it is smaller than the sum of its proper divisors (713215320).

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

313812840 is a wasteful number, since it uses less digits than its factorization.

313812840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237762 (or 237758 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 313812840 is about 17714.7633345749. The cubic root of 313812840 is about 679.5533687651.

The spelling of 313812840 in words is "three hundred thirteen million, eight hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 237737 475474 713211 950948 1188685 1426422 1901896 2377370 2615107 2852844 3566055 4754740 5230214 5705688 7132110 7845321 9509480 10460428 13075535 14264220 15690642 20920856 26151070 28528440 31381284 39226605 52302140 62762568 78453210 104604280 156906420 313812840