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350472 = 23317859
BaseRepresentation
bin1010101100100001000
3122210202110
41111210020
542203342
611302320
72656533
oct1254410
9583673
10350472
1121a351
1214a9a0
13c36a5
1491a1a
156dc9c
hex55908

350472 has 32 divisors (see below), whose sum is σ = 928800. Its totient is φ = 109824.

The previous prime is 350459. The next prime is 350503. The reversal of 350472 is 274053.

It is a happy number.

It is an unprimeable number.

350472 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 7 ways as a sum of consecutive naturals, for example, 22 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (29025).

2350472 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 350472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464400).

350472 is an abundant number, since it is smaller than the sum of its proper divisors (578328).

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

350472 is a wasteful number, since it uses less digits than its factorization.

350472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 350472 is about 592.0067567182. The cubic root of 350472 is about 70.5046523764.

The spelling of 350472 in words is "three hundred fifty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 859 1718 2577 3436 5154 6872 10308 14603 20616 29206 43809 58412 87618 116824 175236 350472