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344400641 = 1359736151
BaseRepresentation
bin10100100001110…
…010001100000001
3220000001100212022
4110201302030001
51201131310031
654101411225
711351233334
oct2441621401
9800040768
10344400641
11167450332
1297409b15
1356475680
1433a5061b
152037e97b
hex14872301

344400641 has 16 divisors (see below), whose sum is σ = 382408320. Its totient is φ = 308188800.

The previous prime is 344400577. The next prime is 344400647. The reversal of 344400641 is 146004443.

It is a cyclic number.

It is not a de Polignac number, because 344400641 - 26 = 344400577 is a prime.

It is a super-2 number, since 2×3444006412 = 237223603042421762, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 344400641.

It is not an unprimeable number, because it can be changed into a prime (344400647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52916 + ... + 59066.

It is an arithmetic number, because the mean of its divisors is an integer number (23900520).

Almost surely, 2344400641 is an apocalyptic number.

It is an amenable number.

344400641 is a deficient number, since it is larger than the sum of its proper divisors (38007679).

344400641 is a wasteful number, since it uses less digits than its factorization.

344400641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296.

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 344400641 is about 18558.0344056153. The cubic root of 344400641 is about 700.9515229979.

The spelling of 344400641 in words is "three hundred forty-four million, four hundred thousand, six hundred forty-one".

Divisors: 1 13 59 73 767 949 4307 6151 55991 79963 362909 449023 4717817 5837299 26492357 344400641