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116395344 = 24321397641
BaseRepresentation
bin1101111000000…
…00110101010000
322010000111101200
412330000311100
5214244122334
615314431200
72612226012
oct674006520
9263014350
10116395344
115a77a5aa
1232b92500
131b1642b0
141165c1b2
15a342799
hex6f00d50

116395344 has 120 divisors (see below), whose sum is σ = 354972072. Its totient is φ = 35389440.

The previous prime is 116395343. The next prime is 116395369. The reversal of 116395344 is 443593611.

116395344 is a `hidden beast` number, since 11 + 639 + 5 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18147600 + 98247744 = 4260^2 + 9912^2 .

It is a super-2 number, since 2×1163953442 = 27095752209756672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 116395299 and 116395308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116395343) by changing a digit.

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, 181264 + ... + 181904.

Almost surely, 2116395344 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 116395344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177486036).

116395344 is an abundant number, since it is smaller than the sum of its proper divisors (238576728).

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

116395344 is a wasteful number, since it uses less digits than its factorization.

116395344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 756 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 116395344 is about 10788.6673875878. The cubic root of 116395344 is about 488.2533173756.

The spelling of 116395344 in words is "one hundred sixteen million, three hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 97 104 117 144 156 194 208 234 291 312 388 468 582 624 641 776 873 936 1164 1261 1282 1552 1746 1872 1923 2328 2522 2564 3492 3783 3846 4656 5044 5128 5769 6984 7566 7692 8333 10088 10256 11349 11538 13968 15132 15384 16666 20176 22698 23076 24999 30264 30768 33332 45396 46152 49998 60528 62177 66664 74997 90792 92304 99996 124354 133328 149994 181584 186531 199992 248708 299988 373062 399984 497416 559593 599976 746124 808301 994832 1119186 1199952 1492248 1616602 2238372 2424903 2984496 3233204 4476744 4849806 6466408 7274709 8953488 9699612 12932816 14549418 19399224 29098836 38798448 58197672 116395344