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1344826368 = 21033127383
BaseRepresentation
bin101000000101000…
…0110110000000000
310110201112020222000
41100022012300000
510223233420433
6341240144000
745216556404
oct12012066000
93421466860
101344826368
11630134a56
12316468000
13185801562
14ca86d104
157d0e7113
hex50286c00

1344826368 has 176 divisors, whose sum is σ = 4024565760. Its totient is φ = 443584512.

The previous prime is 1344826349. The next prime is 1344826393. The reversal of 1344826368 is 8636284431.

1344826368 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 8 + 2 + 636 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3511105 + ... + 3511487.

Almost surely, 21344826368 is an apocalyptic number.

1344826368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012282880).

1344826368 is an abundant number, since it is smaller than the sum of its proper divisors (2679739392).

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

1344826368 is a wasteful number, since it uses less digits than its factorization.

1344826368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 515 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1344826368 is about 36671.8743453345. The cubic root of 1344826368 is about 1103.7958034438.

The spelling of 1344826368 in words is "one billion, three hundred forty-four million, eight hundred twenty-six thousand, three hundred sixty-eight".