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31132304 = 2471783197
BaseRepresentation
bin111011011000…
…0101010010000
32011120200111022
41312300222100
530432213204
63031135012
7525422510
oct166605220
964520438
1031132304
1116634185
12a514468
1365b04a8
1441c5840
152aee5be
hex1db0a90

31132304 has 80 divisors (see below), whose sum is σ = 74245248. Its totient is φ = 12343296.

The previous prime is 31132303. The next prime is 31132327. The reversal of 31132304 is 40323113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (31132303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157934 + ... + 158130.

Almost surely, 231132304 is an apocalyptic number.

31132304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37122624).

31132304 is an abundant number, since it is smaller than the sum of its proper divisors (43112944).

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

31132304 is a wasteful number, since it uses less digits than its factorization.

31132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 31132304 is about 5579.6329628390. The cubic root of 31132304 is about 314.5843312143.

Adding to 31132304 its reverse (40323113), we get a palindrome (71455417).

The spelling of 31132304 in words is "thirty-one million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 83 112 119 136 166 197 238 272 332 394 476 581 664 788 952 1162 1328 1379 1411 1576 1904 2324 2758 2822 3152 3349 4648 5516 5644 6698 9296 9877 11032 11288 13396 16351 19754 22064 22576 23443 26792 32702 39508 46886 53584 65404 79016 93772 114457 130808 158032 187544 228914 261616 277967 375088 457828 555934 915656 1111868 1831312 1945769 2223736 3891538 4447472 7783076 15566152 31132304