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157304 = 237532
BaseRepresentation
bin100110011001111000
321222210002
4212121320
520013204
63212132
71223420
oct463170
9258702
10157304
11a8204
1277048
13567a4
1441480
153191e
hex26678

157304 has 24 divisors (see below), whose sum is σ = 343560. Its totient is φ = 66144.

The previous prime is 157303. The next prime is 157307. The reversal of 157304 is 403751.

It is a happy number.

157304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2942 + ... + 2994.

It is an arithmetic number, because the mean of its divisors is an integer number (14315).

2157304 is an apocalyptic number.

157304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171780).

157304 is an abundant number, since it is smaller than the sum of its proper divisors (186256).

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

157304 is an equidigital number, since it uses as much as digits as its factorization.

157304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 157304 is about 396.6156829980. The cubic root of 157304 is about 53.9817039068.

The spelling of 157304 in words is "one hundred fifty-seven thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2809 2968 5618 11236 19663 22472 39326 78652 157304