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114100344 = 23321918297
BaseRepresentation
bin1101100110100…
…00100001111000
321221200220020200
412303100201320
5213202202334
615153322200
72553560031
oct663204170
9257626220
10114100344
1159452306
1232266360
131a83c7c7
1411221a88
15a03c799
hex6cd0878

114100344 has 48 divisors (see below), whose sum is σ = 310677120. Its totient is φ = 37829760.

The previous prime is 114100319. The next prime is 114100369. The reversal of 114100344 is 443001411.

It is an interprime number because it is at equal distance from previous prime (114100319) and next prime (114100369).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9604 + ... + 17900.

It is an arithmetic number, because the mean of its divisors is an integer number (6472440).

Almost surely, 2114100344 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 114100344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155338560).

114100344 is an abundant number, since it is smaller than the sum of its proper divisors (196576776).

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

114100344 is a wasteful number, since it uses less digits than its factorization.

114100344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500 (or 8493 counting only the distinct ones).

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

The square root of 114100344 is about 10681.7762567843. The cubic root of 114100344 is about 485.0229825790.

Adding to 114100344 its reverse (443001411), we get a palindrome (557101755).

The spelling of 114100344 in words is "one hundred fourteen million, one hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1528 1719 2292 3438 4584 6876 8297 13752 16594 24891 33188 49782 66376 74673 99564 149346 199128 298692 597384 1584727 3169454 4754181 6338908 9508362 12677816 14262543 19016724 28525086 38033448 57050172 114100344