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31303828 = 22234143193
BaseRepresentation
bin111011101101…
…0100010010100
32011220101210001
41313122202110
531003210303
63034541044
7530035543
oct167324224
964811701
1031303828
1116741036
12a597784
13664059a
14422c15a
152b3531d
hex1dda894

31303828 has 48 divisors (see below), whose sum is σ = 60230016. Its totient is φ = 14192640.

The previous prime is 31303823. The next prime is 31303837. The reversal of 31303828 is 82830313.

31303828 is a nontrivial binomial coefficient, being equal to C(7913, 2).

It is a junction number, because it is equal to n+sod(n) for n = 31303796 and 31303805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31303823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 162100 + ... + 162292.

It is an arithmetic number, because the mean of its divisors is an integer number (1254792).

Almost surely, 231303828 is an apocalyptic number.

31303828 is the 7912-nd triangular number.

31303828 is the 2638-th centered nonagonal number.

It is an amenable number.

31303828 is a deficient number, since it is larger than the sum of its proper divisors (28926188).

31303828 is a wasteful number, since it uses less digits than its factorization.

31303828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 31303828 is about 5594.9823949678. The cubic root of 31303828 is about 315.1610094821.

It can be divided in two parts, 31303 and 828, that added together give a triangular number (32131 = T253).

The spelling of 31303828 in words is "thirty-one million, three hundred three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 23 41 43 46 82 86 92 164 172 193 386 772 943 989 1763 1886 1978 3526 3772 3956 4439 7052 7913 8299 8878 15826 16598 17756 31652 33196 40549 81098 162196 181999 190877 340259 363998 381754 680518 727996 763508 1361036 7825957 15651914 31303828