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113434608 = 24372172837
BaseRepresentation
bin1101100001011…
…01111111110000
321220110002000210
412300231333300
5213014401413
615131144120
72545115100
oct660557760
9256402023
10113434608
1159038111
1231ba5040
131a668791
14110cb200
159e5a3c3
hex6c2dff0

113434608 has 120 divisors (see below), whose sum is σ = 361061712. Its totient is φ = 30492672.

The previous prime is 113434567. The next prime is 113434609. The reversal of 113434608 is 806434311.

It is a super-2 number, since 2×1134346082 = 25734820584227328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113434609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38566 + ... + 41402.

Almost surely, 2113434608 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 113434608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180530856).

113434608 is an abundant number, since it is smaller than the sum of its proper divisors (247627104).

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

113434608 is a wasteful number, since it uses less digits than its factorization.

113434608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2866 counting only the distinct ones).

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

The square root of 113434608 is about 10650.5684355343. The cubic root of 113434608 is about 484.0778282512.

Adding to 113434608 its reverse (806434311), we get a palindrome (919868919).

It can be divided in two parts, 11343 and 4608, that added together give a palindrome (15951).

The spelling of 113434608 in words is "one hundred thirteen million, four hundred thirty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2499 2837 2856 3332 4998 5674 5712 6664 8511 9996 11348 13328 17022 19859 19992 22696 34044 39718 39984 45392 48229 59577 68088 79436 96458 119154 136176 139013 144687 158872 192916 238308 278026 289374 317744 337603 385832 417039 476616 556052 578748 675206 771664 834078 953232 1012809 1112104 1157496 1350412 1668156 2025618 2224208 2314992 2363221 2700824 3336312 4051236 4726442 5401648 6672624 7089663 8102472 9452884 14179326 16204944 18905768 28358652 37811536 56717304 113434608