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94304 = 257421
BaseRepresentation
bin10111000001100000
311210100202
4113001200
511004204
62004332
7541640
oct270140
9153322
1094304
1164941
12466a8
1333c02
1426520
151ce1e
hex17060

94304 has 24 divisors (see below), whose sum is σ = 212688. Its totient is φ = 40320.

The previous prime is 94291. The next prime is 94307. The reversal of 94304 is 40349.

94304 = T109 + T110 + ... + T122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94307) by changing a digit.

94304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (8862).

294304 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 94304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106344).

94304 is an abundant number, since it is smaller than the sum of its proper divisors (118384).

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

94304 is a wasteful number, since it uses less digits than its factorization.

94304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 94304 is about 307.0895634827. The cubic root of 94304 is about 45.5173222295.

The spelling of 94304 in words is "ninety-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 421 842 1684 2947 3368 5894 6736 11788 13472 23576 47152 94304