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113354368 = 2717113461
BaseRepresentation
bin1101100000110…
…10011010000000
321220021222221221
412300122122000
5213004314433
615125324424
72544332131
oct660323200
9256258857
10113354368
1158a928a6
1231b66714
131a63b0ba
14110a9c88
159e4172d
hex6c1a680

113354368 has 64 divisors (see below), whose sum is σ = 241746120. Its totient is φ = 52756480.

The previous prime is 113354261. The next prime is 113354369. The reversal of 113354368 is 863453311.

It can be written as a sum of positive squares in 4 ways, for example, as 70425664 + 42928704 = 8392^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113354369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245658 + ... + 246118.

Almost surely, 2113354368 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 113354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120873060).

113354368 is an abundant number, since it is smaller than the sum of its proper divisors (128391752).

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

113354368 is a wasteful number, since it uses less digits than its factorization.

113354368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 593 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 113354368 is about 10646.8008340534. The cubic root of 113354368 is about 483.9636609559.

It can be divided in two parts, 113 and 354368, that multiplied together give a square (40043584 = 63282).

The spelling of 113354368 in words is "one hundred thirteen million, three hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 128 136 226 272 452 461 544 904 922 1088 1808 1844 1921 2176 3616 3688 3842 7232 7376 7684 7837 14464 14752 15368 15674 29504 30736 31348 52093 59008 61472 62696 104186 122944 125392 208372 245888 250784 416744 501568 833488 885581 1003136 1666976 1771162 3333952 3542324 6667904 7084648 14169296 28338592 56677184 113354368