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344432144 = 24741107701
BaseRepresentation
bin10100100001111…
…001111000010000
3220000002222002002
4110201321320100
51201133312034
654102213132
711351424230
oct2441717020
9800088062
10344432144
11167471a71
12974241a8
1356486b04
1433a5bcc0
1520388e7e
hex14879e10

344432144 has 80 divisors (see below), whose sum is σ = 789699456. Its totient is φ = 142464000.

The previous prime is 344432141. The next prime is 344432167. The reversal of 344432144 is 441234443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (344432141) 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, 490994 + ... + 491694.

Almost surely, 2344432144 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 344432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394849728).

344432144 is an abundant number, since it is smaller than the sum of its proper divisors (445267312).

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

344432144 is a wasteful number, since it uses less digits than its factorization.

344432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its digits is 18432, while the sum is 29.

The square root of 344432144 is about 18558.8831560523. The cubic root of 344432144 is about 700.9728948150.

Adding to 344432144 its reverse (441234443), we get a palindrome (785666587).

The spelling of 344432144 in words is "three hundred forty-four million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 107 112 164 214 287 328 428 574 656 701 749 856 1148 1402 1498 1712 2296 2804 2996 4387 4592 4907 5608 5992 8774 9814 11216 11984 17548 19628 28741 30709 35096 39256 57482 61418 70192 75007 78512 114964 122836 150014 201187 229928 245672 300028 402374 459856 491344 525049 600056 804748 1050098 1200112 1609496 2100196 3075287 3218992 4200392 6150574 8400784 12301148 21527009 24602296 43054018 49204592 86108036 172216072 344432144