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352672 = 25103107
BaseRepresentation
bin1010110000110100000
3122220202221
41112012200
542241142
611320424
72666125
oct1260640
9586687
10352672
11220a71
12150114
13c46a8
149274c
156e767
hex561a0

352672 has 24 divisors (see below), whose sum is σ = 707616. Its totient is φ = 172992.

The previous prime is 352661. The next prime is 352691. The reversal of 352672 is 276253.

It is a congruent number.

It is an unprimeable number.

352672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3243 + ... + 3349.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2352672 is an apocalyptic number.

352672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

352672 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

352672 is a wasteful number, since it uses less digits than its factorization.

352672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 352672 is about 593.8619368170. The cubic root of 352672 is about 70.6518698500.

It can be divided in two parts, 352 and 672, that added together give a 10-th power (1024 = 210).

The spelling of 352672 in words is "three hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 103 107 206 214 412 428 824 856 1648 1712 3296 3424 11021 22042 44084 88168 176336 352672