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1337003424 = 25324642373
BaseRepresentation
bin100111110110001…
…0000110110100000
310110011210210220100
41033230100312200
510214233102144
6340400342400
745063225111
oct11754206640
93404723810
101337003424
11626781509
12313914a00
13183cc28b3
14c97d4208
157c59e269
hex4fb10da0

1337003424 has 36 divisors (see below), whose sum is σ = 3802104306. Its totient is φ = 445667712.

The previous prime is 1337003417. The next prime is 1337003461. The reversal of 1337003424 is 4243007331.

It can be written as a sum of positive squares in only one way, i.e., 1291683600 + 45319824 = 35940^2 + 6732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2320899 + ... + 2321474.

Almost surely, 21337003424 is an apocalyptic number.

It is an amenable number.

1337003424 is an abundant number, since it is smaller than the sum of its proper divisors (2465100882).

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

1337003424 is a wasteful number, since it uses less digits than its factorization.

1337003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642389 (or 4642378 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 1337003424 is about 36565.0574182511. The cubic root of 1337003424 is about 1101.6513555039.

The spelling of 1337003424 in words is "one billion, three hundred thirty-seven million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4642373 9284746 13927119 18569492 27854238 37138984 41781357 55708476 74277968 83562714 111416952 148555936 167125428 222833904 334250856 445667808 668501712 1337003424