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97934400 = 2633522267
BaseRepresentation
bin1011101011001…
…01110001000000
320211021120202000
411311211301000
5200032400100
613415024000
72266300014
oct565456100
9224246660
1097934400
1150310623
122896b000
131739c565
14d014544
1588e7900
hex5d65c40

97934400 has 168 divisors, whose sum is σ = 357164640. Its totient is φ = 26104320.

The previous prime is 97934393. The next prime is 97934411. The reversal of 97934400 is 443979.

It is a super-2 number, since 2×979344002 = 19182293406720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42067 + ... + 44333.

It is an arithmetic number, because the mean of its divisors is an integer number (2125980).

Almost surely, 297934400 is an apocalyptic number.

97934400 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 97934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178582320).

97934400 is an abundant number, since it is smaller than the sum of its proper divisors (259230240).

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

97934400 is a wasteful number, since it uses less digits than its factorization.

97934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 97934400 is about 9896.1810816092. The cubic root of 97934400 is about 460.9407339235.

The spelling of 97934400 in words is "ninety-seven million, nine hundred thirty-four thousand, four hundred".