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357896 = 23721183
BaseRepresentation
bin1010111011000001000
3200011221102
41113120020
542423041
611400532
73020300
oct1273010
9604842
10357896
11224990
12153148
13c6b96
1494600
157109b
hex57608

357896 has 48 divisors (see below), whose sum is σ = 861840. Its totient is φ = 137760.

The previous prime is 357883. The next prime is 357913. The reversal of 357896 is 698753.

357896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4271 + ... + 4353.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

357896 is a Friedman number, since it can be written as 98*(7+5*3^6), using all its digits and the basic arithmetic operations.

2357896 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 357896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

357896 is an abundant number, since it is smaller than the sum of its proper divisors (503944).

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

357896 is a wasteful number, since it uses less digits than its factorization.

357896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 103 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 357896 is about 598.2440973382. The cubic root of 357896 is about 70.9990081195. Note that the first 3 decimals are identical.

The spelling of 357896 in words is "three hundred fifty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 83 88 98 154 166 196 308 332 392 539 581 616 664 913 1078 1162 1826 2156 2324 3652 4067 4312 4648 6391 7304 8134 12782 16268 25564 32536 44737 51128 89474 178948 357896