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320648496 = 24377113441
BaseRepresentation
bin10011000111001…
…011010100110000
3211100100122001020
4103013023110300
51124041222441
651452335440
710642316160
oct2307132460
9740318036
10320648496
11154aa7a63
128b474580
135157a44c
143082a5a0
151d23be66
hex131cb530

320648496 has 80 divisors (see below), whose sum is σ = 960081408. Its totient is φ = 90316800.

The previous prime is 320648483. The next prime is 320648527. The reversal of 320648496 is 694846023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 17136 + ... + 30576.

Almost surely, 2320648496 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 320648496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480040704).

320648496 is an abundant number, since it is smaller than the sum of its proper divisors (639432912).

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

320648496 is a wasteful number, since it uses less digits than its factorization.

320648496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13530 (or 13524 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 320648496 is about 17906.6606602124. The cubic root of 320648496 is about 684.4521138019.

The spelling of 320648496 in words is "three hundred twenty million, six hundred forty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3976 5964 7952 11928 13441 23856 26882 40323 53764 80646 94087 107528 161292 188174 215056 282261 322584 376348 564522 645168 752696 954311 1129044 1505392 1908622 2258088 2862933 3817244 4516176 5725866 6680177 7634488 11451732 13360354 15268976 20040531 22903464 26720708 40081062 45806928 53441416 80162124 106882832 160324248 320648496