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31434936 = 23313531901
BaseRepresentation
bin111011111101…
…0100010111000
32012011001121220
41313322202320
531021404221
63041432040
7531123021
oct167724270
965131556
1031434936
1116820595
12a63b620
136688170
144263c48
152b5e0c6
hex1dfa8b8

31434936 has 64 divisors (see below), whose sum is σ = 86274720. Its totient is φ = 9484800.

The previous prime is 31434929. The next prime is 31434973. The reversal of 31434936 is 63943413.

It is a junction number, because it is equal to n+sod(n) for n = 31434897 and 31434906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15586 + ... + 17486.

Almost surely, 231434936 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 31434936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43137360).

31434936 is an abundant number, since it is smaller than the sum of its proper divisors (54839784).

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

31434936 is a wasteful number, since it uses less digits than its factorization.

31434936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1972 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 31434936 is about 5606.6867221203. The cubic root of 31434936 is about 315.6003868138.

The spelling of 31434936 in words is "thirty-one million, four hundred thirty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 1901 2067 2756 3802 4134 5512 5703 7604 8268 11406 15208 16536 22812 24713 45624 49426 74139 98852 100753 148278 197704 201506 296556 302259 403012 593112 604518 806024 1209036 1309789 2418072 2619578 3929367 5239156 7858734 10478312 15717468 31434936