Search a number
BaseRepresentation
bin101100000
3111001
411200
52402
61344
71012
oct540
9431
10352
112a0
12254
13211
141b2
15187
hex160

• 352 can be written using four 4's: 352 has 12 divisors (see below), whose sum is σ = 756. Its totient is φ = 160.

The previous prime is 349. The next prime is 353. The reversal of 352 is 253.

352 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a pancake number, because a pancake can be divided into 352 parts by 26 straight cuts.

It is a plaindrome in base 6.

It is a nialpdrome in base 8, base 9 and base 13.

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 (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27 + ... + 37.

It is an arithmetic number, because the mean of its divisors is an integer number (63).

352 is a gapful number since it is divisible by the number (32) 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 352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378).

352 is an abundant number, since it is smaller than the sum of its proper divisors (404).

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

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

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

The sum of its prime factors is 21 (or 13 counting only the distinct ones).

The product of its digits is 30, while the sum is 10.

The square root of 352 is about 18.7616630393. The cubic root of 352 is about 7.0606966707.

Subtracting from 352 its reverse (253), we obtain a palindrome (99).

It can be divided in two parts, 3 and 52, that added together give a palindrome (55).

The spelling of 352 in words is "three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352