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344422656 = 2832149489
BaseRepresentation
bin10100100001110…
…111100100000000
3220000002111001200
4110201313210000
51201133011111
654102101200
711351354454
oct2441674400
9800074050
10344422656
11167465926
129741a800
13564826b6
1433a58664
1520386256
hex14877900

344422656 has 54 divisors (see below), whose sum is σ = 993062070. Its totient is φ = 114806784.

The previous prime is 344422651. The next prime is 344422657. The reversal of 344422656 is 656224443.

It can be written as a sum of positive squares in only one way, i.e., 235929600 + 108493056 = 15360^2 + 10416^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 344422656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344422651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72441 + ... + 77048.

Almost surely, 2344422656 is an apocalyptic number.

344422656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

344422656 is an abundant number, since it is smaller than the sum of its proper divisors (648639414).

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

344422656 is a wasteful number, since it uses less digits than its factorization.

344422656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149511 (or 149494 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 344422656 is about 18558.6275354618. The cubic root of 344422656 is about 700.9664582382.

The spelling of 344422656 in words is "three hundred forty-four million, four hundred twenty-two thousand, six hundred fifty-six".

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 149489 298978 448467 597956 896934 1195912 1345401 1793868 2391824 2690802 3587736 4783648 5381604 7175472 9567296 10763208 14350944 19134592 21526416 28701888 38269184 43052832 57403776 86105664 114807552 172211328 344422656