Search a number
-
+
114793344 = 2732251397
BaseRepresentation
bin1101101011110…
…01101110000000
322000000002212100
412311321232000
5213341341334
615220230400
72562504321
oct665715600
9260002770
10114793344
1159885a36
123253b400
131aa23073
1411362448
15a127c99
hex6d79b80

114793344 has 96 divisors (see below), whose sum is σ = 332481240. Its totient is φ = 38016000.

The previous prime is 114793337. The next prime is 114793363. The reversal of 114793344 is 443397411.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 114793299 and 114793308.

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, 288954 + ... + 289350.

Almost surely, 2114793344 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 114793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166240620).

114793344 is an abundant number, since it is smaller than the sum of its proper divisors (217687896).

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

114793344 is a wasteful number, since it uses less digits than its factorization.

114793344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 114793344 is about 10714.1655764693. The cubic root of 114793344 is about 486.0029466874.

The spelling of 114793344 in words is "one hundred fourteen million, seven hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 251 288 384 397 502 576 753 794 1004 1152 1191 1506 1588 2008 2259 2382 3012 3176 3573 4016 4518 4764 6024 6352 7146 8032 9036 9528 12048 12704 14292 16064 18072 19056 24096 25408 28584 32128 36144 38112 48192 50816 57168 72288 76224 96384 99647 114336 144576 152448 199294 228672 289152 298941 398588 457344 597882 797176 896823 1195764 1594352 1793646 2391528 3188704 3587292 4783056 6377408 7174584 9566112 12754816 14349168 19132224 28698336 38264448 57396672 114793344