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96354 = 23253101
BaseRepresentation
bin10111100001100010
311220011200
4113201202
511040404
62022030
7550626
oct274142
9156150
1096354
1166435
1247916
1334b1b
1427186
151d839
hex17862

96354 has 24 divisors (see below), whose sum is σ = 214812. Its totient is φ = 31200.

The previous prime is 96353. The next prime is 96377. The reversal of 96354 is 45369.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81225 + 15129 = 285^2 + 123^2 .

Its product of digits (3240) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (96353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 904 + ... + 1004.

296354 is an apocalyptic number.

96354 is an abundant number, since it is smaller than the sum of its proper divisors (118458).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107406).

96354 is a wasteful number, since it uses less digits than its factorization.

96354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 159 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 96354 is about 310.4094070739. The cubic root of 96354 is about 45.8447824474.

The spelling of 96354 in words is "ninety-six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 53 101 106 159 202 303 318 477 606 909 954 1818 5353 10706 16059 32118 48177 96354