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344864 = 2513829
BaseRepresentation
bin1010100001100100000
3122112001202
41110030200
542013424
611220332
72634302
oct1241440
9575052
10344864
11216113
121476a8
13c0c80
148d972
156c2ae
hex54320

344864 has 24 divisors (see below), whose sum is σ = 732060. Its totient is φ = 158976.

The previous prime is 344863. The next prime is 344873. The reversal of 344864 is 468443.

It can be written as a sum of positive squares in 2 ways, for example, as 336400 + 8464 = 580^2 + 92^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (344863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 830.

2344864 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 344864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366030).

344864 is an abundant number, since it is smaller than the sum of its proper divisors (387196).

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

344864 is a wasteful number, since it uses less digits than its factorization.

344864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 344864 is about 587.2512239238. The cubic root of 344864 is about 70.1265737131.

The spelling of 344864 in words is "three hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 829 1658 3316 6632 10777 13264 21554 26528 43108 86216 172432 344864