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314322012 = 22335389617
BaseRepresentation
bin10010101111000…
…010110001011100
3210220110012202000
4102233002301130
51120431301022
651105002300
710534456464
oct2257026134
9726405660
10314322012
11151476864
1289323390
1350173974
142da60ba4
151c8dc6ac
hex12bc2c5c

314322012 has 96 divisors (see below), whose sum is σ = 840974400. Its totient is φ = 101477376.

The previous prime is 314322011. The next prime is 314322017. The reversal of 314322012 is 210223413.

314322012 is a `hidden beast` number, since 31 + 432 + 201 + 2 = 666.

It is a super-3 number, since 3×3143220123 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314322011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509128 + ... + 509744.

It is an arithmetic number, because the mean of its divisors is an integer number (8760150).

Almost surely, 2314322012 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 314322012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420487200).

314322012 is an abundant number, since it is smaller than the sum of its proper divisors (526652388).

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

314322012 is a wasteful number, since it uses less digits than its factorization.

314322012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314322012 is about 17729.1289126116. The cubic root of 314322012 is about 679.9207029793.

Adding to 314322012 its reverse (210223413), we get a palindrome (524545425).

The spelling of 314322012 in words is "three hundred fourteen million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 89 106 108 159 178 212 267 318 356 477 534 617 636 801 954 1068 1234 1431 1602 1851 1908 2403 2468 2862 3204 3702 4717 4806 5553 5724 7404 9434 9612 11106 14151 16659 18868 22212 28302 32701 33318 42453 54913 56604 65402 66636 84906 98103 109826 127359 130804 164739 169812 196206 219652 254718 294309 329478 392412 494217 509436 588618 658956 882927 988434 1177236 1482651 1765854 1976868 2910389 2965302 3531708 5820778 5930604 8731167 11641556 17462334 26193501 34924668 52387002 78580503 104774004 157161006 314322012