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312929130 = 23526633917
BaseRepresentation
bin10010101001101…
…110101101101010
3210210211110001210
4102221232231222
51120102213010
651015053550
710516565553
oct2251565552
9723743053
10312929130
11150705318
12889712b6
134caa6987
142d7bb32a
151c714b20
hex12a6eb6a

312929130 has 32 divisors (see below), whose sum is σ = 751503744. Its totient is φ = 83395136.

The previous prime is 312929117. The next prime is 312929131. The reversal of 312929130 is 31929213.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (312929131) 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, 77932 + ... + 81848.

It is an arithmetic number, because the mean of its divisors is an integer number (23484492).

Almost surely, 2312929130 is an apocalyptic number.

312929130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312929130 is an abundant number, since it is smaller than the sum of its proper divisors (438574614).

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

312929130 is a wasteful number, since it uses less digits than its factorization.

312929130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6590.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 312929130 is about 17689.8029949460. The cubic root of 312929130 is about 678.9148855479.

The spelling of 312929130 in words is "three hundred twelve million, nine hundred twenty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 2663 3917 5326 7834 7989 11751 13315 15978 19585 23502 26630 39170 39945 58755 79890 117510 10430971 20861942 31292913 52154855 62585826 104309710 156464565 312929130