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314342424 = 233311132299
BaseRepresentation
bin10010101111000…
…111110000011000
3210220111020202000
4102233013300120
51120432424144
651105241000
710534603134
oct2257076030
9726436660
10314342424
11151490130
1289333160
1350180046
142da683c4
151c8e3769
hex12bc7c18

314342424 has 64 divisors (see below), whose sum is σ = 952560000. Its totient is φ = 95254560.

The previous prime is 314342419. The next prime is 314342447. The reversal of 314342424 is 424243413.

It is a happy number.

314342424 is a `hidden beast` number, since 314 + 342 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×3143424242 = 197622319052391552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 63774 + ... + 68525.

It is an arithmetic number, because the mean of its divisors is an integer number (14883750).

Almost surely, 2314342424 is an apocalyptic number.

It is an amenable number.

314342424 is an abundant number, since it is smaller than the sum of its proper divisors (638217576).

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

314342424 is a wasteful number, since it uses less digits than its factorization.

314342424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132325 (or 132315 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 314342424 is about 17729.7045660665. The cubic root of 314342424 is about 679.9354206261.

Adding to 314342424 its reverse (424243413), we get a palindrome (738585837).

The spelling of 314342424 in words is "three hundred fourteen million, three hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 132299 264598 396897 529196 793794 1058392 1190691 1455289 1587588 2381382 2910578 3175176 3572073 4365867 4762764 5821156 7144146 8731734 9525528 11642312 13097601 14288292 17463468 26195202 28576584 34926936 39292803 52390404 78585606 104780808 157171212 314342424