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BaseRepresentation
bin101100101
3111020
411211
52412
61353
71020
oct545
9436
10357
112a5
12259
13216
141b7
1518c
hex165

357 has 8 divisors (see below), whose sum is σ = 576. Its totient is φ = 192.

The previous prime is 353. The next prime is 359. The reversal of 357 is 753.

Subtracting from 357 its product of digits (105), we obtain a palindrome (252).

It can be divided in two parts, 3 and 57, that multiplied together give a palindrome (171).

357 is nontrivially palindromic in base 4 and base 8.

357 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 357 - 22 = 353 is a prime.

357 is an idoneal number.

It is a d-powerful number, because it can be written as 32 + 5 + 73 .

357 is an undulating number in base 8.

357 is a lucky number.

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 10, base 12 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 29.

It is an arithmetic number, because the mean of its divisors is an integer number (72).

It is an amenable number.

357 is a deficient number, since it is larger than the sum of its proper divisors (219).

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

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

The sum of its prime factors is 27.

The product of its digits is 105, while the sum is 15.

The square root of 357 is about 18.8944436277. The cubic root of 357 is about 7.0939709448.

The spelling of 357 in words is "three hundred fifty-seven", and thus it is an aban number and an oban number.

Divisors: 1 3 7 17 21 51 119 357