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31439700 = 223252181193
BaseRepresentation
bin111011111101…
…1101101010100
32012011022011100
41313323231110
531022032300
63041510100
7531142635
oct167735524
965138140
1031439700
1116824126
12a642330
13668a396
14426588c
152b60700
hex1dfbb54

31439700 has 108 divisors (see below), whose sum is σ = 99603868. Its totient is φ = 8294400.

The previous prime is 31439693. The next prime is 31439701. The reversal of 31439700 is 793413.

It can be written as a sum of positive squares in 6 ways, for example, as 10536516 + 20903184 = 3246^2 + 4572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31439701) 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 35 ways as a sum of consecutive naturals, for example, 162804 + ... + 162996.

Almost surely, 231439700 is an apocalyptic number.

31439700 is a gapful number since it is divisible by the number (30) 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 31439700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49801934).

31439700 is an abundant number, since it is smaller than the sum of its proper divisors (68164168).

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

31439700 is a wasteful number, since it uses less digits than its factorization.

31439700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 31439700 is about 5607.1115558726. Note that the first 3 decimals coincide. The cubic root of 31439700 is about 315.6163292066.

The spelling of 31439700 in words is "thirty-one million, four hundred thirty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 181 193 225 300 362 386 450 543 579 724 772 900 905 965 1086 1158 1629 1737 1810 1930 2172 2316 2715 2895 3258 3474 3620 3860 4525 4825 5430 5790 6516 6948 8145 8685 9050 9650 10860 11580 13575 14475 16290 17370 18100 19300 27150 28950 32580 34740 34933 40725 43425 54300 57900 69866 81450 86850 104799 139732 162900 173700 174665 209598 314397 349330 419196 523995 628794 698660 873325 1047990 1257588 1571985 1746650 2095980 2619975 3143970 3493300 5239950 6287940 7859925 10479900 15719850 31439700