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312336668 = 22719718269
BaseRepresentation
bin10010100111011…
…110000100011100
3210202201100100202
4102213132010130
51114424233133
650554243032
710511550350
oct2247360434
9722640322
10312336668
11150340186
1288726478
134c92a0c7
142d6a5460
151c6492e8
hex129de11c

312336668 has 48 divisors (see below), whose sum is σ = 666892800. Its totient is φ = 125012160.

The previous prime is 312336659. The next prime is 312336671. The reversal of 312336668 is 866633213.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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, 33638 + ... + 41906.

It is an arithmetic number, because the mean of its divisors is an integer number (13893600).

Almost surely, 2312336668 is an apocalyptic number.

312336668 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312336668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333446400).

312336668 is an abundant number, since it is smaller than the sum of its proper divisors (354556132).

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

312336668 is a wasteful number, since it uses less digits than its factorization.

312336668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8370 (or 8368 counting only the distinct ones).

The product of its digits is 93312, while the sum is 38.

The square root of 312336668 is about 17673.0491992751. The cubic root of 312336668 is about 678.4861565430.

The spelling of 312336668 in words is "three hundred twelve million, three hundred thirty-six thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 19 28 38 71 76 133 142 266 284 497 532 994 1349 1988 2698 5396 8269 9443 16538 18886 33076 37772 57883 115766 157111 231532 314222 587099 628444 1099777 1174198 2199554 2348396 4109693 4399108 8219386 11154881 16438772 22309762 44619524 78084167 156168334 312336668