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331624020 = 223571360737
BaseRepresentation
bin10011110001000…
…010111001010100
3212010000020122010
4103301002321110
51134343432040
652523504220
711134520610
oct2361027124
9763006563
10331624020
11160214042
1293088070
1353921040
1432086340
151e1a8e80
hex13c42e54

331624020 has 96 divisors (see below), whose sum is σ = 1142846208. Its totient is φ = 69967872.

The previous prime is 331624009. The next prime is 331624063. The reversal of 331624020 is 20426133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 24909 + ... + 35828.

It is an arithmetic number, because the mean of its divisors is an integer number (11904648).

Almost surely, 2331624020 is an apocalyptic number.

331624020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331624020 is an abundant number, since it is smaller than the sum of its proper divisors (811222188).

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

331624020 is a wasteful number, since it uses less digits than its factorization.

331624020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60769 (or 60767 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 331624020 is about 18210.5469440102. The cubic root of 331624020 is about 692.1740710587.

The spelling of 331624020 in words is "three hundred thirty-one million, six hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 60737 121474 182211 242948 303685 364422 425159 607370 728844 789581 850318 911055 1214740 1275477 1579162 1700636 1822110 2125795 2368743 2550954 3158324 3644220 3947905 4251590 4737486 5101908 5527067 6377385 7895810 8503180 9474972 11054134 11843715 12754770 15791620 16581201 22108268 23687430 25509540 27635335 33162402 47374860 55270670 66324804 82906005 110541340 165812010 331624020