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320427628 = 2217192341263
BaseRepresentation
bin10011000110010…
…101011001101100
3211022221102001221
4103012111121230
51124012141003
651443513124
710640406223
oct2306253154
9738842057
10320427628
11154967024
128b3887a4
1351500a61
14307adcba
151d1e67bd
hex1319566c

320427628 has 96 divisors (see below), whose sum is σ = 670602240. Its totient is φ = 132802560.

The previous prime is 320427617. The next prime is 320427637. The reversal of 320427628 is 826724023.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 320427593 and 320427602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218225 + ... + 1218487.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 2320427628 is an apocalyptic number.

320427628 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

320427628 is an abundant number, since it is smaller than the sum of its proper divisors (350174612).

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

320427628 is a wasteful number, since it uses less digits than its factorization.

320427628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 320427628 is about 17900.4923954622. The cubic root of 320427628 is about 684.2949237168.

The spelling of 320427628 in words is "three hundred twenty million, four hundred twenty-seven thousand, six hundred twenty-eight".

Divisors: 1 2 4 17 19 23 34 38 41 46 68 76 82 92 164 263 323 391 437 526 646 697 779 782 874 943 1052 1292 1394 1558 1564 1748 1886 2788 3116 3772 4471 4997 6049 7429 8942 9994 10783 12098 13243 14858 16031 17884 17917 19988 21566 24196 26486 29716 32062 35834 43132 52972 64124 71668 84949 102833 114931 169898 183311 204877 205666 229862 248009 304589 339796 366622 409754 411332 459724 496018 609178 733244 819508 992036 1218356 1953827 3482909 3907654 4216153 4712171 6965818 7815308 8432306 9424342 13931636 16864612 18848684 80106907 160213814 320427628