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1329913296 = 24333078503
BaseRepresentation
bin100111101000100…
…1101110111010000
310102200110121002000
41033101031313100
510210424211141
6335544354000
744646035145
oct11721156720
93380417060
101329913296
116227795a8
12311475900
131826ac65a
14c88aa3cc
157bb4d5b6
hex4f44ddd0

1329913296 has 40 divisors (see below), whose sum is σ = 3817344960. Its totient is φ = 443304288.

The previous prime is 1329913279. The next prime is 1329913297. The reversal of 1329913296 is 6923199231.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329913297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1538820 + ... + 1539683.

It is an arithmetic number, because the mean of its divisors is an integer number (95433624).

Almost surely, 21329913296 is an apocalyptic number.

1329913296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1329913296 is an abundant number, since it is smaller than the sum of its proper divisors (2487431664).

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

1329913296 is a wasteful number, since it uses less digits than its factorization.

1329913296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078520 (or 3078508 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 1329913296 is about 36467.9763079884. The cubic root of 1329913296 is about 1099.7005509964.

The spelling of 1329913296 in words is "one billion, three hundred twenty-nine million, nine hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3078503 6157006 9235509 12314012 18471018 24628024 27706527 36942036 49256048 55413054 73884072 83119581 110826108 147768144 166239162 221652216 332478324 443304432 664956648 1329913296