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1337214048 = 25340934057
BaseRepresentation
bin100111110110100…
…0100010001100000
310110012012111211020
41033231010101200
510214311322143
6340405045440
745065063142
oct11755042140
93405174736
101337214048
11626905785
123139b6880
13184067721
14c984ac92
157c5e1883
hex4fb44460

1337214048 has 48 divisors (see below), whose sum is σ = 3518872560. Its totient is φ = 444635136.

The previous prime is 1337214023. The next prime is 1337214049. The reversal of 1337214048 is 8404127331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337214049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22236 + ... + 56292.

It is an arithmetic number, because the mean of its divisors is an integer number (73309845).

Almost surely, 21337214048 is an apocalyptic number.

It is an amenable number.

1337214048 is an abundant number, since it is smaller than the sum of its proper divisors (2181658512).

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

1337214048 is a wasteful number, since it uses less digits than its factorization.

1337214048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34479 (or 34471 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1337214048 is about 36567.9374315807. The cubic root of 1337214048 is about 1101.7092017860.

The spelling of 1337214048 in words is "one billion, three hundred thirty-seven million, two hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 409 818 1227 1636 2454 3272 4908 6544 9816 13088 19632 34057 39264 68114 102171 136228 204342 272456 408684 544912 817368 1089824 1634736 3269472 13929313 27858626 41787939 55717252 83575878 111434504 167151756 222869008 334303512 445738016 668607024 1337214048