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1334001344 = 26131679601
BaseRepresentation
bin100111110000011…
…0011111011000000
310102222011021211012
41033200303323000
510213001020334
6340212140052
745025552514
oct11740637300
93388137735
101334001344
11625010a55
12312907628
131834b1310
14c9252144
157c1a99ce
hex4f833ec0

1334001344 has 56 divisors (see below), whose sum is σ = 2868155808. Its totient is φ = 611942400.

The previous prime is 1334001301. The next prime is 1334001349. The reversal of 1334001344 is 4431004331.

It is not an unprimeable number, because it can be changed into a prime (1334001349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134144 + ... + 143744.

It is an arithmetic number, because the mean of its divisors is an integer number (51217068).

Almost surely, 21334001344 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 1334001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434077904).

1334001344 is an abundant number, since it is smaller than the sum of its proper divisors (1534154464).

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

1334001344 is a wasteful number, since it uses less digits than its factorization.

1334001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 1334001344 is about 36523.9831343735. The cubic root of 1334001344 is about 1100.8261958285.

Adding to 1334001344 its reverse (4431004331), we get a palindrome (5765005675).

The spelling of 1334001344 in words is "one billion, three hundred thirty-four million, one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 167 208 334 416 668 832 1336 2171 2672 4342 5344 8684 9601 10688 17368 19202 34736 38404 69472 76808 124813 138944 153616 249626 307232 499252 614464 998504 1603367 1997008 3206734 3994016 6413468 7988032 12826936 20843771 25653872 41687542 51307744 83375084 102615488 166750168 333500336 667000672 1334001344