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310664020 = 22531836037
BaseRepresentation
bin10010100001000…
…101101101010100
3210122120100220211
4102201011231110
51114012222040
650454335204
710461413002
oct2241055524
9718510824
10310664020
1114a3a8527
128805a504
134c492984
142d38ba72
151c4188ea
hex12845b54

310664020 has 48 divisors (see below), whose sum is σ = 681666048. Its totient is φ = 118788480.

The previous prime is 310664017. The next prime is 310664063. The reversal of 310664020 is 20466013.

It is a junction number, because it is equal to n+sod(n) for n = 310663982 and 310664000.

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, 48442 + ... + 54478.

It is an arithmetic number, because the mean of its divisors is an integer number (14201376).

Almost surely, 2310664020 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 310664020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340833024).

310664020 is an abundant number, since it is smaller than the sum of its proper divisors (371002028).

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

310664020 is a wasteful number, since it uses less digits than its factorization.

310664020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 310664020 is about 17625.6636754478. The cubic root of 310664020 is about 677.2728286168.

The spelling of 310664020 in words is "three hundred ten million, six hundred sixty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 83 124 155 166 310 332 415 620 830 1660 2573 5146 6037 10292 12074 12865 24148 25730 30185 51460 60370 120740 187147 374294 501071 748588 935735 1002142 1871470 2004284 2505355 3742940 5010710 10021420 15533201 31066402 62132804 77666005 155332010 310664020