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114312996 = 223273114633
BaseRepresentation
bin1101101000001…
…00011100100100
321222002200221200
412310010130210
5213231003441
615202042500
72555434020
oct664043444
9258080850
10114312996
1159588056
1232349430
131a8b5535
1411279380
15a0807b6
hex6d04724

114312996 has 72 divisors (see below), whose sum is σ = 340913664. Its totient is φ = 31605120.

The previous prime is 114312973. The next prime is 114313019. The reversal of 114312996 is 699213411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114312973) and next prime (114313019).

It is a super-2 number, since 2×1143129962 = 26134922108992032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 114312996.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496 + ... + 15128.

It is an arithmetic number, because the mean of its divisors is an integer number (4734912).

Almost surely, 2114312996 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 114312996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170456832).

114312996 is an abundant number, since it is smaller than the sum of its proper divisors (226600668).

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

114312996 is a wasteful number, since it uses less digits than its factorization.

114312996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14681 (or 14676 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 114312996 is about 10691.7255857041. The cubic root of 114312996 is about 485.3241125444.

The spelling of 114312996 in words is "one hundred fourteen million, three hundred twelve thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 14633 29266 43899 58532 87798 102431 131697 175596 204862 263394 307293 409724 453623 526788 614586 907246 921879 1229172 1360869 1814492 1843758 2721738 3175361 3687516 4082607 5443476 6350722 8165214 9526083 12701444 16330428 19052166 28578249 38104332 57156498 114312996