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980320352 = 251119236373
BaseRepresentation
bin111010011011101…
…000000001100000
32112022122102201012
4322123220001200
54001430222402
6241135400052
733202404554
oct7233500140
92468572635
10980320352
11463402210
12234383028
1312813981b
14942a7864
155b0e5452
hex3a6e8060

980320352 has 96 divisors (see below), whose sum is σ = 2312997120. Its totient is φ = 403729920.

The previous prime is 980320343. The next prime is 980320357. The reversal of 980320352 is 253023089.

It is a super-2 number, since 2×9803203522 = 1922055985090807808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980320357) 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, 150638 + ... + 157010.

It is an arithmetic number, because the mean of its divisors is an integer number (24093720).

Almost surely, 2980320352 is an apocalyptic number.

980320352 is a gapful number since it is divisible by the number (92) 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 980320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156498560).

980320352 is an abundant number, since it is smaller than the sum of its proper divisors (1332676768).

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

980320352 is a wasteful number, since it uses less digits than its factorization.

980320352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436 (or 6428 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 980320352 is about 31310.0679015552. The cubic root of 980320352 is about 993.3966085343.

The spelling of 980320352 in words is "nine hundred eighty million, three hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 76 88 92 152 176 184 209 253 304 352 368 418 437 506 608 736 836 874 1012 1672 1748 2024 3344 3496 4048 4807 6373 6688 6992 8096 9614 12746 13984 19228 25492 38456 50984 70103 76912 101968 121087 140206 146579 153824 203936 242174 280412 293158 484348 560824 586316 968696 1121648 1172632 1331957 1612369 1937392 2243296 2345264 2663914 2785001 3224738 3874784 4690528 5327828 5570002 6449476 10655656 11140004 12898952 21311312 22280008 25797904 30635011 42622624 44560016 51595808 61270022 89120032 122540044 245080088 490160176 980320352