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997484040 = 2332571983251
BaseRepresentation
bin111011011101000…
…110011000001000
32120111221102212100
4323131012120020
54020323442130
6242551313400
733501321510
oct7335063010
92514842770
10997484040
11472065583
1223a07b860
1312b868c57
1496694840
155c885c60
hex3b746608

997484040 has 384 divisors, whose sum is σ = 3962649600. Its totient is φ = 212544000.

The previous prime is 997484003. The next prime is 997484053. The reversal of 997484040 is 40484799.

997484040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3973915 + ... + 3974165.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2997484040 is an apocalyptic number.

997484040 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 997484040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

997484040 is an abundant number, since it is smaller than the sum of its proper divisors (2965165560).

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

997484040 is a wasteful number, since it uses less digits than its factorization.

997484040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 997484040 is about 31582.9707279097. The cubic root of 997484040 is about 999.1606423425.

The spelling of 997484040 in words is "nine hundred ninety-seven million, four hundred eighty-four thousand, forty".