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314402112 = 2632896133
BaseRepresentation
bin10010101111010…
…110010101000000
3210220121021121200
4102233112111000
51120441331422
651110421200
710535242143
oct2257262500
9726537550
10314402112
11151520a62
1289361800
13501a126b
142da8205a
151c9062ac
hex12bd6540

314402112 has 84 divisors (see below), whose sum is σ = 911451060. Its totient is φ = 103606272.

The previous prime is 314402071. The next prime is 314402117. The reversal of 314402112 is 211204413.

It can be written as a sum of positive squares in 2 ways, for example, as 199826496 + 114575616 = 14136^2 + 10704^2 .

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 (314402117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48198 + ... + 54330.

Almost surely, 2314402112 is an apocalyptic number.

314402112 is a gapful number since it is divisible by the number (32) 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 314402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455725530).

314402112 is an abundant number, since it is smaller than the sum of its proper divisors (597048948).

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

314402112 is a wasteful number, since it uses less digits than its factorization.

314402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 314402112 is about 17731.3877629474. The cubic root of 314402112 is about 679.9784537579.

Adding to 314402112 its reverse (211204413), we get a palindrome (525606525).

The spelling of 314402112 in words is "three hundred fourteen million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 144 178 192 267 288 356 534 576 712 801 1068 1424 1602 2136 2848 3204 4272 5696 6133 6408 8544 12266 12816 17088 18399 24532 25632 36798 49064 51264 55197 73596 98128 110394 147192 196256 220788 294384 392512 441576 545837 588768 883152 1091674 1177536 1637511 1766304 2183348 3275022 3532608 4366696 4912533 6550044 8733392 9825066 13100088 17466784 19650132 26200176 34933568 39300264 52400352 78600528 104800704 157201056 314402112