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314249112 = 233311031319
BaseRepresentation
bin10010101110110…
…000111110011000
3210220022111202000
4102232300332120
51120421432422
651103241000
710534034112
oct2256607630
9726274660
10314249112
11151427011
12892a9160
1350149728
142da423b2
151c8c5cac
hex12bb0f98

314249112 has 64 divisors (see below), whose sum is σ = 874368000. Its totient is φ = 104575392.

The previous prime is 314249107. The next prime is 314249149. The reversal of 314249112 is 211942413.

It is a happy number.

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, 237589 + ... + 238907.

It is an arithmetic number, because the mean of its divisors is an integer number (13662000).

Almost surely, 2314249112 is an apocalyptic number.

It is an amenable number.

314249112 is an abundant number, since it is smaller than the sum of its proper divisors (560118888).

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

314249112 is a wasteful number, since it uses less digits than its factorization.

314249112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2427 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 314249112 is about 17727.0728548173. The cubic root of 314249112 is about 679.8681347534.

The spelling of 314249112 in words is "three hundred fourteen million, two hundred forty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1103 1319 2206 2638 3309 3957 4412 5276 6618 7914 8824 9927 10552 11871 13236 15828 19854 23742 26472 29781 31656 35613 39708 47484 59562 71226 79416 94968 119124 142452 238248 284904 1454857 2909714 4364571 5819428 8729142 11638856 13093713 17458284 26187426 34916568 39281139 52374852 78562278 104749704 157124556 314249112