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117346944 = 27311132137
BaseRepresentation
bin1101111111010…
…01001010000000
322011210211202010
412333221022000
5220020100234
615351052520
72623301241
oct677511200
9264724663
10117346944
116026a550
1233371140
131b408480
1411828cc8
15a47e6e9
hex6fe9280

117346944 has 128 divisors (see below), whose sum is σ = 366367680. Its totient is φ = 32808960.

The previous prime is 117346861. The next prime is 117346967. The reversal of 117346944 is 449643711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1173469442 = 27540610532278272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53844 + ... + 55980.

Almost surely, 2117346944 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 117346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183183840).

117346944 is an abundant number, since it is smaller than the sum of its proper divisors (249020736).

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

117346944 is a wasteful number, since it uses less digits than its factorization.

117346944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2166 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 117346944 is about 10832.6794469328. The cubic root of 117346944 is about 489.5802931108.

The spelling of 117346944 in words is "one hundred seventeen million, three hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2137 2288 2496 3432 4224 4274 4576 4992 6411 6864 8548 9152 12822 13728 17096 18304 23507 25644 27456 27781 34192 47014 51288 54912 55562 68384 70521 83343 94028 102576 111124 136768 141042 166686 188056 205152 222248 273536 282084 305591 333372 376112 410304 444496 564168 611182 666744 752224 820608 888992 916773 1128336 1222364 1333488 1504448 1777984 1833546 2256672 2444728 2666976 3008896 3555968 3667092 4513344 4889456 5333952 7334184 9026688 9778912 10667904 14668368 19557824 29336736 39115648 58673472 117346944