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113893344 = 2533612161
BaseRepresentation
bin1101100100111…
…01111111100000
321221022101022000
412302131333200
5213124041334
615145044000
72552035365
oct662357740
9257271260
10113893344
1159320834
1232186600
131a799516
14111aa46c
159eeb299
hex6c9dfe0

113893344 has 96 divisors (see below), whose sum is σ = 337790880. Its totient is φ = 37324800.

The previous prime is 113893327. The next prime is 113893397. The reversal of 113893344 is 443398311.

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

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

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

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

It is a junction number, because it is equal to n+sod(n) for n = 113893299 and 113893308.

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, 51624 + ... + 53784.

It is an arithmetic number, because the mean of its divisors is an integer number (3518655).

Almost surely, 2113893344 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 113893344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168895440).

113893344 is an abundant number, since it is smaller than the sum of its proper divisors (223897536).

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

113893344 is a wasteful number, since it uses less digits than its factorization.

113893344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2227 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 113893344 is about 10672.0824584521. The cubic root of 113893344 is about 484.7294966584.

The spelling of 113893344 in words is "one hundred thirteen million, eight hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1952 2161 2196 2928 3294 4322 4392 5856 6483 6588 8644 8784 12966 13176 17288 17568 19449 25932 26352 34576 38898 51864 52704 58347 69152 77796 103728 116694 131821 155592 207456 233388 263642 311184 395463 466776 527284 622368 790926 933552 1054568 1186389 1581852 1867104 2109136 2372778 3163704 3559167 4218272 4745556 6327408 7118334 9491112 12654816 14236668 18982224 28473336 37964448 56946672 113893344