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358072 = 231113313
BaseRepresentation
bin1010111011010111000
3200012011221
41113122320
542424242
611401424
73020641
oct1273270
9605157
10358072
11225030
12153274
13c6ca0
14946c8
1571167
hex576b8

358072 has 32 divisors (see below), whose sum is σ = 791280. Its totient is φ = 149760.

The previous prime is 358069. The next prime is 358073. The reversal of 358072 is 270853.

358072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

358072 is an undulating number in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (358073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 988 + ... + 1300.

2358072 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 358072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395640).

358072 is an abundant number, since it is smaller than the sum of its proper divisors (433208).

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

358072 is a wasteful number, since it uses less digits than its factorization.

358072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 358072 is about 598.3911764055. The cubic root of 358072 is about 71.0106444399.

The spelling of 358072 in words is "three hundred fifty-eight thousand, seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 313 572 626 1144 1252 2504 3443 4069 6886 8138 13772 16276 27544 32552 44759 89518 179036 358072