Search a number
-
+
1337984031 = 317197313297
BaseRepresentation
bin100111111000000…
…0000010000011111
310110020122122001010
41033300000100133
510220010442111
6340433350303
745104451036
oct11760002037
93406578033
101337984031
1162729122a
12314108393
13184277037
14c99ab71d
157c6e4aa6
hex4fc0041f

1337984031 has 16 divisors (see below), whose sum is σ = 1890018144. Its totient is φ = 839030784.

The previous prime is 1337983967. The next prime is 1337984051. The reversal of 1337984031 is 1304897331.

It is a happy number.

It is not a de Polignac number, because 1337984031 - 26 = 1337983967 is a prime.

It is a super-2 number, since 2×13379840312 = 3580402534422017922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337984051) 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 15 ways as a sum of consecutive naturals, for example, 93975 + ... + 107271.

It is an arithmetic number, because the mean of its divisors is an integer number (118126134).

Almost surely, 21337984031 is an apocalyptic number.

1337984031 is a deficient number, since it is larger than the sum of its proper divisors (552034113).

1337984031 is a wasteful number, since it uses less digits than its factorization.

1337984031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15290.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1337984031 is about 36578.4640328158. The cubic root of 1337984031 is about 1101.9206200926.

The spelling of 1337984031 in words is "one billion, three hundred thirty-seven million, nine hundred eighty-four thousand, thirty-one".

Divisors: 1 3 17 51 1973 5919 13297 33541 39891 100623 226049 678147 26234981 78704943 445994677 1337984031