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997888320 = 2632511132423
BaseRepresentation
bin111011011110101…
…001000101000000
32120112200222102200
4323132221011000
54020424411240
6243004113200
733504624252
oct7336510500
92515628380
10997888320
114723112a0
1223a235800
1312b97ac80
149675bcd2
155c915930
hex3b7a9140

997888320 has 336 divisors, whose sum is σ = 4034040192. Its totient is φ = 223211520.

The previous prime is 997888279. The next prime is 997888343. The reversal of 997888320 is 23888799.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410629 + ... + 413051.

It is an arithmetic number, because the mean of its divisors is an integer number (12006072).

Almost surely, 2997888320 is an apocalyptic number.

997888320 is a gapful number since it is divisible by the number (90) 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 997888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017020096).

997888320 is an abundant number, since it is smaller than the sum of its proper divisors (3036151872).

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

997888320 is a wasteful number, since it uses less digits than its factorization.

997888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 997888320 is about 31589.3703640956. The cubic root of 997888320 is about 999.2956106188.

The spelling of 997888320 in words is "nine hundred ninety-seven million, eight hundred eighty-eight thousand, three hundred twenty".