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997244640 = 2532571941127
BaseRepresentation
bin111011011100001…
…011111011100000
32120111111021110200
4323130023323200
54020243312030
6242542225200
733466303530
oct7334137340
92514437420
10997244640
11471a11727
12239b85200
1312b7b3cb2
14966314c0
155c839d60
hex3b70bee0

997244640 has 576 divisors, whose sum is σ = 4226826240. Its totient is φ = 209018880.

The previous prime is 997244623. The next prime is 997244687. The reversal of 997244640 is 46442799.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7852257 + ... + 7852383.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2997244640 is an apocalyptic number.

997244640 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 997244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113413120).

997244640 is an abundant number, since it is smaller than the sum of its proper divisors (3229581600).

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

997244640 is a wasteful number, since it uses less digits than its factorization.

997244640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 997244640 is about 31579.1804833501. The cubic root of 997244640 is about 999.0807018165.

The spelling of 997244640 in words is "nine hundred ninety-seven million, two hundred forty-four thousand, six hundred forty".