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97324304 = 24711197401
BaseRepresentation
bin1011100110100…
…00110100010000
320210010120211212
411303100310100
5144403334204
613353555252
72261146220
oct563206420
9223116755
1097324304
114aa34210
1228715b28
131721795c
14ccd6080
158826c6e
hex5cd0d10

97324304 has 80 divisors (see below), whose sum is σ = 236877696. Its totient is φ = 37632000.

The previous prime is 97324273. The next prime is 97324309. The reversal of 97324304 is 40342379.

It is a super-3 number, since 3×973243043 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (97324309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242504 + ... + 242904.

Almost surely, 297324304 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 97324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118438848).

97324304 is an abundant number, since it is smaller than the sum of its proper divisors (139553392).

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

97324304 is a wasteful number, since it uses less digits than its factorization.

97324304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 97324304 is about 9865.3081046666. The cubic root of 97324304 is about 459.9815745613.

The spelling of 97324304 in words is "ninety-seven million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 197 308 394 401 616 788 802 1232 1379 1576 1604 2167 2758 2807 3152 3208 4334 4411 5516 5614 6416 8668 8822 11032 11228 15169 17336 17644 22064 22456 30338 30877 34672 35288 44912 60676 61754 70576 78997 121352 123508 157994 242704 247016 315988 494032 552979 631976 868967 1105958 1263952 1737934 2211916 3475868 4423832 6082769 6951736 8847664 12165538 13903472 24331076 48662152 97324304