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97344 = 2632132
BaseRepresentation
bin10111110001000000
311221112100
4113301000
511103334
62030400
7553542
oct276100
9157470
1097344
1167155
1248400
1335400
1427692
151dc99
hex17c40

97344 has 63 divisors (see below), whose sum is σ = 302133. Its totient is φ = 29952.

The previous prime is 97327. The next prime is 97367. The reversal of 97344 is 44379.

It can be divided in two parts, 97 and 344, that added together give a square (441 = 212).

97344 = T311 + T312.

97344 = 143 + 153 + ... + 253.

The square root of 97344 is 312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 82944 = 120^2 + 288^2 .

Its product of digits (3024) is a multiple of the sum of its prime divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97344.

It is an unprimeable number.

97344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7482 + ... + 7494.

297344 is an apocalyptic number.

97344 is the 312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97344

97344 is an abundant number, since it is smaller than the sum of its proper divisors (204789).

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

97344 is a wasteful number, since it uses less digits than its factorization.

97344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 18 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The cubic root of 97344 is about 46.0012602049.

The spelling of 97344 in words is "ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1014 1248 1352 1521 1872 2028 2496 2704 3042 3744 4056 5408 6084 7488 8112 10816 12168 16224 24336 32448 48672 97344