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314312124 = 22374779613
BaseRepresentation
bin10010101111000…
…000010110111100
3210220102201011210
4102233000112330
51120430441444
651104444420
710534415610
oct2257002674
9726381153
10314312124
1115146a395
1289319710
135016c309
142da5b340
151c8d97b9
hex12bc05bc

314312124 has 48 divisors (see below), whose sum is σ = 856009728. Its totient is φ = 87891648.

The previous prime is 314312071. The next prime is 314312137. The reversal of 314312124 is 421213413.

314312124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3143121242 = 197584222586782752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 314312124.

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, 35859 + ... + 43754.

It is an arithmetic number, because the mean of its divisors is an integer number (17833536).

Almost surely, 2314312124 is an apocalyptic number.

It is an amenable number.

314312124 is an abundant number, since it is smaller than the sum of its proper divisors (541697604).

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

314312124 is a wasteful number, since it uses less digits than its factorization.

314312124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79674 (or 79672 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 314312124 is about 17728.8500473099. The cubic root of 314312124 is about 679.9135732142.

Adding to 314312124 its reverse (421213413), we get a palindrome (735525537).

The spelling of 314312124 in words is "three hundred fourteen million, three hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 3948 79613 159226 238839 318452 477678 557291 955356 1114582 1671873 2229164 3343746 3741811 6687492 7483622 11225433 14967244 22450866 26192677 44901732 52385354 78578031 104770708 157156062 314312124