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97340032 = 271395471
BaseRepresentation
bin1011100110101…
…00101010000000
320210011101102101
411303110222000
5144404340112
613354200144
72261243116
oct563245200
9223141371
1097340032
114aa45009
1228723054
1317221b6a
14ccdbab6
15882b757
hex5cd4a80

97340032 has 32 divisors (see below), whose sum is σ = 195350400. Its totient is φ = 48311040.

The previous prime is 97340017. The next prime is 97340051. The reversal of 97340032 is 23004379.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×973400322 = 18950163659522048, which contains 22 as substring.

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, 15057 + ... + 20527.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 297340032 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 97340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97675200).

97340032 is an abundant number, since it is smaller than the sum of its proper divisors (98010368).

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

97340032 is a wasteful number, since it uses less digits than its factorization.

97340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 97340032 is about 9866.1052092505. The cubic root of 97340032 is about 460.0063515191.

The spelling of 97340032 in words is "ninety-seven million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 1112 2224 4448 5471 8896 10942 17792 21884 43768 87536 175072 350144 700288 760469 1520938 3041876 6083752 12167504 24335008 48670016 97340032