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320800980 = 22351072467
BaseRepresentation
bin10011000111110…
…000100011010100
3211100122101012210
4103013300203110
51124111112410
651455513420
710643522553
oct2307604324
9740571183
10320800980
111550a1585
128b528870
1351601986
1430869d9a
151d26c220
hex131f08d4

320800980 has 72 divisors (see below), whose sum is σ = 908657568. Its totient is φ = 84565952.

The previous prime is 320800969. The next prime is 320801029. The reversal of 320800980 is 89008023.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 686707 + ... + 687173.

It is an arithmetic number, because the mean of its divisors is an integer number (12620244).

Almost surely, 2320800980 is an apocalyptic number.

320800980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320800980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454328784).

320800980 is an abundant number, since it is smaller than the sum of its proper divisors (587856588).

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

320800980 is a wasteful number, since it uses less digits than its factorization.

320800980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 320800980 is about 17910.9178994266. The cubic root of 320800980 is about 684.5605933964.

The spelling of 320800980 in words is "three hundred twenty million, eight hundred thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 467 535 642 934 1070 1284 1401 1605 1868 2140 2335 2802 3210 4670 5604 6420 7005 9340 11449 14010 22898 28020 34347 45796 49969 57245 68694 99938 114490 137388 149907 171735 199876 228980 249845 299814 343470 499690 599628 686940 749535 999380 1499070 2998140 5346683 10693366 16040049 21386732 26733415 32080098 53466830 64160196 80200245 106933660 160400490 320800980