Search a number
-
+
1334004331 = 111741173993
BaseRepresentation
bin100111110000011…
…0100101001101011
310102222011102220211
41033200310221223
510213001114311
6340212201551
745025564312
oct11740645153
93388142824
101334004331
11625013220
123129092b7
131834b279a
14c9253279
157c1aa821
hex4f834a6b

1334004331 has 16 divisors (see below), whose sum is σ = 1578473568. Its totient is φ = 1113548800.

The previous prime is 1334004323. The next prime is 1334004341.

It is a happy number.

1334004331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1334004331 - 23 = 1334004323 is a prime.

It is a super-2 number, since 2×13340043312 = 3559135110253515122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1334004311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79330 + ... + 94663.

It is an arithmetic number, because the mean of its divisors is an integer number (98654598).

Almost surely, 21334004331 is an apocalyptic number.

1334004331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1334004331 is a deficient number, since it is larger than the sum of its proper divisors (244469237).

1334004331 is a wasteful number, since it uses less digits than its factorization.

1334004331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174062.

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 1334004331 is about 36524.0240252905. The cubic root of 1334004331 is about 1100.8270174582.

It can be divided in two parts, 133400 and 4331, that added together give a palindrome (137731).

The spelling of 1334004331 in words is "one billion, three hundred thirty-four million, four thousand, three hundred thirty-one".

Divisors: 1 11 17 41 187 451 697 7667 173993 1913923 2957881 7133713 32536691 78470843 121273121 1334004331