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116416344 = 233111923209
BaseRepresentation
bin1101111000001…
…01111101011000
322010001120012110
412330011331120
5214300310334
615315112320
72612344152
oct674057530
9263046173
10116416344
115a794360
1232ba26a0
131b170a15
1411665ad2
15a348ae9
hex6f05f58

116416344 has 64 divisors (see below), whose sum is σ = 334224000. Its totient is φ = 33419520.

The previous prime is 116416331. The next prime is 116416373. The reversal of 116416344 is 443614611.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6589 + ... + 16620.

It is an arithmetic number, because the mean of its divisors is an integer number (5222250).

Almost surely, 2116416344 is an apocalyptic number.

It is an amenable number.

116416344 is an abundant number, since it is smaller than the sum of its proper divisors (217807656).

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

116416344 is a wasteful number, since it uses less digits than its factorization.

116416344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23248 (or 23244 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 116416344 is about 10789.6405871558. The cubic root of 116416344 is about 488.2826790973.

The spelling of 116416344 in words is "one hundred sixteen million, four hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 23209 46418 69627 92836 139254 185672 255299 278508 440971 510598 557016 765897 881942 1021196 1322913 1531794 1763884 2042392 2645826 3063588 3527768 4850681 5291652 6127176 9701362 10583304 14552043 19402724 29104086 38805448 58208172 116416344