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980453376 = 21133717149
BaseRepresentation
bin111010011100001…
…000100000000000
32112022220012012000
4322130020200000
54001444002001
6241142304000
733203500440
oct7234104000
92468805160
10980453376
11463493151
12234428000
13128185236
1494300120
155b11ea86
hex3a708800

980453376 has 384 divisors, whose sum is σ = 3538080000. Its totient is φ = 261881856.

The previous prime is 980453351. The next prime is 980453423. The reversal of 980453376 is 673354089.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9804533762 = 1922577645019594752, which contains 22 as substring.

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, 6580150 + ... + 6580298.

It is an arithmetic number, because the mean of its divisors is an integer number (9213750).

Almost surely, 2980453376 is an apocalyptic number.

980453376 is a gapful number since it is divisible by the number (96) 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 980453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040000).

980453376 is an abundant number, since it is smaller than the sum of its proper divisors (2557626624).

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

980453376 is a wasteful number, since it uses less digits than its factorization.

980453376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 980453376 is about 31312.1921302230. The cubic root of 980453376 is about 993.4415392937.

The spelling of 980453376 in words is "nine hundred eighty million, four hundred fifty-three thousand, three hundred seventy-six".