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355472 = 24131709
BaseRepresentation
bin1010110110010010000
3200001121122
41112302100
542333342
611341412
73010235
oct1266220
9601548
10355472
11223087
12151868
13c5a50
149378c
15704d2
hex56c90

355472 has 20 divisors (see below), whose sum is σ = 742140. Its totient is φ = 163968.

The previous prime is 355463. The next prime is 355483. The reversal of 355472 is 274553.

355472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 59536 + 295936 = 244^2 + 544^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 355472.

It is an unprimeable number.

355472 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 3 ways as a sum of consecutive naturals, for example, 647 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (37107).

2355472 is an apocalyptic number.

It is an amenable number.

355472 is an abundant number, since it is smaller than the sum of its proper divisors (386668).

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

355472 is a wasteful number, since it uses less digits than its factorization.

355472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1724 counting only the distinct ones).

The product of its digits is 4200, while the sum is 26.

The square root of 355472 is about 596.2147264199. The cubic root of 355472 is about 70.8383547382.

The spelling of 355472 in words is "three hundred fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 1709 3418 6836 13672 22217 27344 44434 88868 177736 355472