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320980632 = 23371999601
BaseRepresentation
bin10011001000011…
…100011010011000
3211100222111122120
4103020130122120
51124132340012
651503421240
710645201410
oct2310343230
9740874576
10320980632
11155204555
128b5b4820
135166568b
14308b5640
151d2a558c
hex1321c698

320980632 has 64 divisors (see below), whose sum is σ = 921792000. Its totient is φ = 91238400.

The previous prime is 320980609. The next prime is 320980637. The reversal of 320980632 is 236089023.

It is a super-2 number, since 2×3209806322 = 206057132238238848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320980593 and 320980602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320980637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28632 + ... + 38232.

It is an arithmetic number, because the mean of its divisors is an integer number (14403000).

Almost surely, 2320980632 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 320980632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460896000).

320980632 is an abundant number, since it is smaller than the sum of its proper divisors (600811368).

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

320980632 is a wasteful number, since it uses less digits than its factorization.

320980632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9816 (or 9812 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 320980632 is about 17915.9323508435. The cubic root of 320980632 is about 684.6883566487.

The spelling of 320980632 in words is "three hundred twenty million, nine hundred eighty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 796 1194 1393 1592 2388 2786 4179 4776 5572 8358 9601 11144 16716 19202 28803 33432 38404 57606 67207 76808 115212 134414 201621 230424 268828 403242 537656 806484 1612968 1910599 3821198 5731797 7642396 11463594 13374193 15284792 22927188 26748386 40122579 45854376 53496772 80245158 106993544 160490316 320980632