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312274536 = 233710917053
BaseRepresentation
bin10010100111001…
…110111001101000
3210202121012010120
4102213032321220
51114420241121
650553043240
710511201250
oct2247167150
9722535116
10312274536
111502a8532
12886b6520
134c907a42
142d68a960
151c635bc6
hex129cee68

312274536 has 64 divisors (see below), whose sum is σ = 900451200. Its totient is φ = 88397568.

The previous prime is 312274511. The next prime is 312274537. The reversal of 312274536 is 635472213.

312274536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 312274497 and 312274506.

It is not an unprimeable number, because it can be changed into a prime (312274537) 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, 9786 + ... + 26838.

It is an arithmetic number, because the mean of its divisors is an integer number (14069550).

Almost surely, 2312274536 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 312274536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450225600).

312274536 is an abundant number, since it is smaller than the sum of its proper divisors (588176664).

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

312274536 is a wasteful number, since it uses less digits than its factorization.

312274536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17178 (or 17174 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 312274536 is about 17671.2912940736. The cubic root of 312274536 is about 678.4411639631.

The spelling of 312274536 in words is "three hundred twelve million, two hundred seventy-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 218 327 436 654 763 872 1308 1526 2289 2616 3052 4578 6104 9156 17053 18312 34106 51159 68212 102318 119371 136424 204636 238742 358113 409272 477484 716226 954968 1432452 1858777 2864904 3717554 5576331 7435108 11152662 13011439 14870216 22305324 26022878 39034317 44610648 52045756 78068634 104091512 156137268 312274536