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350464 = 28372
BaseRepresentation
bin1010101100100000000
3122210202011
41111210000
542203324
611302304
72656522
oct1254400
9583664
10350464
1121a344
1214a994
13c369a
1491a12
156dc94
hex55900

350464 has 27 divisors (see below), whose sum is σ = 718977. Its totient is φ = 170496.

The previous prime is 350459. The next prime is 350503. The reversal of 350464 is 464053.

The square root of 350464 is 592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 36864 = 560^2 + 192^2 .

It is an Ulam number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9454 + ... + 9490.

2350464 is an apocalyptic number.

350464 is the 592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350464

350464 is an abundant number, since it is smaller than the sum of its proper divisors (368513).

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

350464 is an frugal number, since it uses more digits than its factorization.

350464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The cubic root of 350464 is about 70.5041159175.

The spelling of 350464 in words is "three hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 1369 2368 2738 4736 5476 9472 10952 21904 43808 87616 175232 350464