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32112340 = 225131131093
BaseRepresentation
bin111101001111…
…1111011010100
32020102110211221
41322133323110
531210043330
63104140124
7536643661
oct172377324
966373757
1032112340
1117143527
12a907644
1368645b0
14439ca68
152c44b7a
hex1e9fed4

32112340 has 48 divisors (see below), whose sum is σ = 73333008. Its totient is φ = 11741184.

The previous prime is 32112323. The next prime is 32112341. The reversal of 32112340 is 4321123.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2125764 + 29986576 = 1458^2 + 5476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32112341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28834 + ... + 29926.

It is an arithmetic number, because the mean of its divisors is an integer number (1527771).

Almost surely, 232112340 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 32112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36666504).

32112340 is an abundant number, since it is smaller than the sum of its proper divisors (41220668).

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

32112340 is a wasteful number, since it uses less digits than its factorization.

32112340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 32112340 is about 5666.7750970018. The cubic root of 32112340 is about 317.8512944740.

Adding to 32112340 its reverse (4321123), we get a palindrome (36433463).

The spelling of 32112340 in words is "thirty-two million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1093 1130 1469 2186 2260 2938 4372 5465 5876 7345 10930 14209 14690 21860 28418 29380 56836 71045 123509 142090 247018 284180 494036 617545 1235090 1605617 2470180 3211234 6422468 8028085 16056170 32112340