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997347120 = 2435711291861
BaseRepresentation
bin111011011100100…
…100111100110000
32120111200111001020
4323130210330300
54020310101440
6242544335440
733500211360
oct7334447460
92514614036
10997347120
11471a81720
1223a014580
1312b81b833
149665a9a0
155c85a3d0
hex3b724f30

997347120 has 320 divisors, whose sum is σ = 3989744640. Its totient is φ = 199987200.

The previous prime is 997347073. The next prime is 997347121. The reversal of 997347120 is 21743799.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (997347121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534990 + ... + 536850.

It is an arithmetic number, because the mean of its divisors is an integer number (12467952).

Almost surely, 2997347120 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 997347120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994872320).

997347120 is an abundant number, since it is smaller than the sum of its proper divisors (2992397520).

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

997347120 is a wasteful number, since it uses less digits than its factorization.

997347120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 997347120 is about 31580.8030296888. The cubic root of 997347120 is about 999.1149235374.

The spelling of 997347120 in words is "nine hundred ninety-seven million, three hundred forty-seven thousand, one hundred twenty".