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354132 = 22341093
BaseRepresentation
bin1010110011101010100
3122222210000
41112131110
542313012
611331300
73003312
oct1263524
9588700
10354132
11222079
12150b30
13c525c
14930b2
156eddc
hex56754

354132 has 30 divisors (see below), whose sum is σ = 926618. Its totient is φ = 117936.

The previous prime is 354121. The next prime is 354139. The reversal of 354132 is 231453.

354132 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 1296 = 594^2 + 36^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354139) by changing a digit.

354132 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 9 ways as a sum of consecutive naturals, for example, 223 + ... + 870.

2354132 is an apocalyptic number.

It is an amenable number.

354132 is an abundant number, since it is smaller than the sum of its proper divisors (572486).

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

354132 is a wasteful number, since it uses less digits than its factorization.

354132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1098 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 354132 is about 595.0899091734. The cubic root of 354132 is about 70.7492310554.

Adding to 354132 its reverse (231453), we get a palindrome (585585).

The spelling of 354132 in words is "three hundred fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1093 2186 3279 4372 6558 9837 13116 19674 29511 39348 59022 88533 118044 177066 354132