Search a number
-
+
344400432 = 24314295021
BaseRepresentation
bin10100100001110…
…010001000110000
3220000001100120120
4110201302020300
51201131303212
654101410240
711351232615
oct2441621060
9800040516
10344400432
11167450162
1297409980
135647554c
1433a5050c
152037e88c
hex14872230

344400432 has 40 divisors (see below), whose sum is σ = 890501040. Its totient is φ = 114696960.

The previous prime is 344400409. The next prime is 344400457. The reversal of 344400432 is 234004443.

It is a happy number.

It is a super-2 number, since 2×3444004322 = 237223315123573248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66082 + ... + 71102.

It is an arithmetic number, because the mean of its divisors is an integer number (22262526).

Almost surely, 2344400432 is an apocalyptic number.

It is an amenable number.

344400432 is an abundant number, since it is smaller than the sum of its proper divisors (546100608).

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

344400432 is a wasteful number, since it uses less digits than its factorization.

344400432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 344400432 is about 18558.0287746301. The cubic root of 344400432 is about 700.9513812067.

Adding to 344400432 its reverse (234004443), we get a palindrome (578404875).

The spelling of 344400432 in words is "three hundred forty-four million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1429 2858 4287 5021 5716 8574 10042 11432 15063 17148 20084 22864 30126 34296 40168 60252 68592 80336 120504 241008 7175009 14350018 21525027 28700036 43050054 57400072 86100108 114800144 172200216 344400432