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1344925296 = 243511134159
BaseRepresentation
bin101000000101001…
…1110111001110000
310110201201021200000
41100022132321300
510223300102141
6341242230000
745220451001
oct12012367160
93421637600
101344925296
116301a2310
123164b5300
131858375b0
14ca8971a8
157d1165b6
hex5029ee70

1344925296 has 480 divisors, whose sum is σ = 4777194240. Its totient is φ = 360806400.

The previous prime is 1344925249. The next prime is 1344925327. The reversal of 1344925296 is 6925294431.

1344925296 is a `hidden beast` number, since 1 + 34 + 4 + 92 + 529 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22795315 + ... + 22795373.

It is an arithmetic number, because the mean of its divisors is an integer number (9952488).

Almost surely, 21344925296 is an apocalyptic number.

1344925296 is a gapful number since it is divisible by the number (16) 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 1344925296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388597120).

1344925296 is an abundant number, since it is smaller than the sum of its proper divisors (3432268944).

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

1344925296 is a wasteful number, since it uses less digits than its factorization.

1344925296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 1344925296 is about 36673.2231471410. The cubic root of 1344925296 is about 1103.8228685571.

The spelling of 1344925296 in words is "one billion, three hundred forty-four million, nine hundred twenty-five thousand, two hundred ninety-six".