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31029400 = 2352473301
BaseRepresentation
bin111011001011…
…1100010011000
32011101110100001
41312113202120
530420420100
63025022344
7524513503
oct166274230
964343301
1031029400
1116573936
12a4849b4
1365756bc
14419a13a
152acdd6a
hex1d97898

31029400 has 48 divisors (see below), whose sum is σ = 73700640. Its totient is φ = 12144000.

The previous prime is 31029389. The next prime is 31029431. The reversal of 31029400 is 492013.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 7750 + ... + 11050.

It is an arithmetic number, because the mean of its divisors is an integer number (1535430).

Almost surely, 231029400 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 31029400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36850320).

31029400 is an abundant number, since it is smaller than the sum of its proper divisors (42671240).

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

31029400 is a wasteful number, since it uses less digits than its factorization.

31029400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 31029400 is about 5570.4039350841. The cubic root of 31029400 is about 314.2373420240.

The spelling of 31029400 in words is "thirty-one million, twenty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 3301 4700 6602 9400 13204 16505 26408 33010 66020 82525 132040 155147 165050 310294 330100 620588 660200 775735 1241176 1551470 3102940 3878675 6205880 7757350 15514700 31029400