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97201344 = 2631812797
BaseRepresentation
bin1011100101100…
…10110011000000
320202220100011210
411302302303000
5144340420334
613351210120
72260124562
oct562626300
9222810153
1097201344
114a95a899
1228676940
13171a39b6
14cca3332
1588005e9
hex5cb2cc0

97201344 has 56 divisors (see below), whose sum is σ = 258691888. Its totient is φ = 32209920.

The previous prime is 97201339. The next prime is 97201367. The reversal of 97201344 is 44310279.

It is a happy number.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33354 + ... + 36150.

It is an arithmetic number, because the mean of its divisors is an integer number (4619498).

Almost surely, 297201344 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 97201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129345944).

97201344 is an abundant number, since it is smaller than the sum of its proper divisors (161490544).

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

97201344 is a wasteful number, since it uses less digits than its factorization.

97201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 97201344 is about 9859.0741958868. The cubic root of 97201344 is about 459.7877786031.

The spelling of 97201344 in words is "ninety-seven million, two hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 1086 1448 2172 2797 2896 4344 5594 5792 8391 8688 11188 11584 16782 17376 22376 33564 34752 44752 67128 89504 134256 179008 268512 506257 537024 1012514 1518771 2025028 3037542 4050056 6075084 8100112 12150168 16200224 24300336 32400448 48600672 97201344