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1337968404 = 223237165789
BaseRepresentation
bin100111110111111…
…1100011100010100
310110020121211121100
41033233330130110
510220004442104
6340433150100
745104354343
oct11757743424
93406554540
101337968404
11627280513
123140bb330
1318426cba6
14c99a5b5a
157c6e0139
hex4fbfc714

1337968404 has 18 divisors (see below), whose sum is σ = 3382086890. Its totient is φ = 445989456.

The previous prime is 1337968393. The next prime is 1337968409. The reversal of 1337968404 is 4048697331.

It can be written as a sum of positive squares in only one way, i.e., 951845904 + 386122500 = 30852^2 + 19650^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1337968404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337968409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18582859 + ... + 18582930.

Almost surely, 21337968404 is an apocalyptic number.

It is an amenable number.

1337968404 is an abundant number, since it is smaller than the sum of its proper divisors (2044118486).

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

1337968404 is a wasteful number, since it uses less digits than its factorization.

1337968404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37165799 (or 37165794 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1337968404 is about 36578.2504228948. The cubic root of 1337968404 is about 1101.9163301110.

The spelling of 1337968404 in words is "one billion, three hundred thirty-seven million, nine hundred sixty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37165789 74331578 111497367 148663156 222994734 334492101 445989468 668984202 1337968404