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97314304 = 29712677
BaseRepresentation
bin1011100110011…
…10011000000000
320210010002010111
411303032120000
5144403024204
613353441104
72261105113
oct563163000
9223102114
1097314304
114aa2774a
1228710194
1317213239
14ccd257a
158823d04
hex5cce600

97314304 has 40 divisors (see below), whose sum is σ = 197250768. Its totient is φ = 47953920.

The previous prime is 97314293. The next prime is 97314313. The reversal of 97314304 is 40341379.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 35014 + ... + 37690.

Almost surely, 297314304 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 97314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98625384).

97314304 is an abundant number, since it is smaller than the sum of its proper divisors (99936464).

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

97314304 is an equidigital number, since it uses as much as digits as its factorization.

97314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 97314304 is about 9864.8012651041. The cubic root of 97314304 is about 459.9658197665.

The spelling of 97314304 in words is "ninety-seven million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1136 2272 2677 4544 5354 9088 10708 18176 21416 36352 42832 85664 171328 190067 342656 380134 685312 760268 1370624 1520536 3041072 6082144 12164288 24328576 48657152 97314304