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97331346 = 23272211523
BaseRepresentation
bin1011100110100…
…10100010010010
320210010221111200
411303102202102
5144404100341
613354052030
72261205600
oct563224222
9223127450
1097331346
114aa39532
122871a016
131721ac18
14ccd8870
158828db6
hex5cd2892

97331346 has 72 divisors (see below), whose sum is σ = 246948624. Its totient is φ = 27624240.

The previous prime is 97331327. The next prime is 97331371. The reversal of 97331346 is 64313379.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (40824) is a multiple of the sum of its prime factors (756).

It is a self number, because there is not a number n which added to its sum of digits gives 97331346.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185841 + ... + 186363.

It is an arithmetic number, because the mean of its divisors is an integer number (3429842).

Almost surely, 297331346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97331346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123474312).

97331346 is an abundant number, since it is smaller than the sum of its proper divisors (149617278).

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

97331346 is a wasteful number, since it uses less digits than its factorization.

97331346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 746 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 97331346 is about 9865.6650054621. The cubic root of 97331346 is about 459.9926684402.

The spelling of 97331346 in words is "ninety-seven million, three hundred thirty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 211 294 422 441 523 633 882 1046 1266 1477 1569 1899 2954 3138 3661 3798 4431 4707 7322 8862 9414 10339 10983 13293 20678 21966 25627 26586 31017 32949 51254 62034 65898 76881 93051 110353 153762 186102 220706 230643 331059 461286 662118 772471 993177 1544942 1986354 2317413 4634826 5407297 6952239 10814594 13904478 16221891 32443782 48665673 97331346