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344242944 = 2832149411
BaseRepresentation
bin10100100001001…
…011101100000000
3212222202100112200
4110201023230000
51201111233234
654054153200
711350005513
oct2441135400
9788670480
10344242944
11167352901
1297352800
135641b966
1433a0cd7a
152034cd99
hex1484bb00

344242944 has 54 divisors (see below), whose sum is σ = 992543916. Its totient is φ = 114746880.

The previous prime is 344242939. The next prime is 344242949. The reversal of 344242944 is 449242443.

344242944 is a `hidden beast` number, since 344 + 24 + 294 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (344242939) and next prime (344242949).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 344242899 and 344242908.

It is not an unprimeable number, because it can be changed into a prime (344242949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72402 + ... + 77009.

Almost surely, 2344242944 is an apocalyptic number.

It is an amenable number.

344242944 is an abundant number, since it is smaller than the sum of its proper divisors (648300972).

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

344242944 is a wasteful number, since it uses less digits than its factorization.

344242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149433 (or 149416 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 344242944 is about 18553.7851663751. The cubic root of 344242944 is about 700.8445208471.

The spelling of 344242944 in words is "three hundred forty-four million, two hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 149411 298822 448233 597644 896466 1195288 1344699 1792932 2390576 2689398 3585864 4781152 5378796 7171728 9562304 10757592 14343456 19124608 21515184 28686912 38249216 43030368 57373824 86060736 114747648 172121472 344242944