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31914100 = 22521718773
BaseRepresentation
bin111100110111…
…1100001110100
32020001101220201
41321233201310
531132222400
63100010244
7535160011
oct171574164
966041821
1031914100
1117018599
12a830984
1367c52aa
14434a708
152c0606a
hex1e6f874

31914100 has 36 divisors (see below), whose sum is σ = 73331244. Its totient is φ = 12014080.

The previous prime is 31914073. The next prime is 31914107. The reversal of 31914100 is 141913.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4477456 + 27436644 = 2116^2 + 5238^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31914107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7687 + ... + 11086.

It is an arithmetic number, because the mean of its divisors is an integer number (2036979).

Almost surely, 231914100 is an apocalyptic number.

It is an amenable number.

31914100 is an abundant number, since it is smaller than the sum of its proper divisors (41417144).

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

31914100 is a wasteful number, since it uses less digits than its factorization.

31914100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18804 (or 18797 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 31914100 is about 5649.2565882601. The cubic root of 31914100 is about 317.1958771761.

The spelling of 31914100 in words is "thirty-one million, nine hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 18773 37546 75092 93865 187730 319141 375460 469325 638282 938650 1276564 1595705 1877300 3191410 6382820 7978525 15957050 31914100