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1334813056 = 2741534799
BaseRepresentation
bin100111110001111…
…1010000110000000
310110000200112021121
41033203322012000
510213203004211
6340241402024
745035503153
oct11743720600
93400615247
101334813056
11625515895
12313039314
13183706915
14c93c3c9a
157c2ba271
hex4f8fa180

1334813056 has 64 divisors (see below), whose sum is σ = 2776032000. Its totient is φ = 638709760.

The previous prime is 1334813047. The next prime is 1334813059. The reversal of 1334813056 is 6503184331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334813059) 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, 275745 + ... + 280543.

It is an arithmetic number, because the mean of its divisors is an integer number (43375500).

Almost surely, 21334813056 is an apocalyptic number.

1334813056 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 1334813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388016000).

1334813056 is an abundant number, since it is smaller than the sum of its proper divisors (1441218944).

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

1334813056 is an equidigital number, since it uses as much as digits as its factorization.

1334813056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 1334813056 is about 36535.0934855790. The cubic root of 1334813056 is about 1101.0494271523.

Adding to 1334813056 its reverse (6503184331), we get a palindrome (7837997387).

The spelling of 1334813056 in words is "one billion, three hundred thirty-four million, eight hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 128 164 212 328 424 656 848 1312 1696 2173 2624 3392 4346 4799 5248 6784 8692 9598 17384 19196 34768 38392 69536 76784 139072 153568 196759 254347 278144 307136 393518 508694 614272 787036 1017388 1574072 2034776 3148144 4069552 6296288 8139104 10428227 12592576 16278208 20856454 25185152 32556416 41712908 83425816 166851632 333703264 667406528 1334813056