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112431336 = 233172391153
BaseRepresentation
bin1101011001110…
…01000011101000
321211120002210120
412230321003220
5212240300321
615053443240
72533436103
oct654710350
9254502716
10112431336
1158512366
12317a0520
131a3a6c24
1410d0973a
159d0cec6
hex6b390e8

112431336 has 64 divisors (see below), whose sum is σ = 299116800. Its totient is φ = 35094528.

The previous prime is 112431329. The next prime is 112431349. The reversal of 112431336 is 633134211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96936 + ... + 98088.

It is an arithmetic number, because the mean of its divisors is an integer number (4673700).

Almost surely, 2112431336 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 112431336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149558400).

112431336 is an abundant number, since it is smaller than the sum of its proper divisors (186685464).

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

112431336 is a wasteful number, since it uses less digits than its factorization.

112431336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1414 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 112431336 is about 10603.3643717454. The cubic root of 112431336 is about 482.6464584433.

Adding to 112431336 its reverse (633134211), we get a palindrome (745565547).

The spelling of 112431336 in words is "one hundred twelve million, four hundred thirty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 239 408 478 717 956 1153 1434 1912 2306 2868 3459 4063 4612 5736 6918 8126 9224 12189 13836 16252 19601 24378 27672 32504 39202 48756 58803 78404 97512 117606 156808 235212 275567 470424 551134 826701 1102268 1653402 2204536 3306804 4684639 6613608 9369278 14053917 18738556 28107834 37477112 56215668 112431336