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1329940944 = 243941103
BaseRepresentation
bin100111101000101…
…0100100111010000
310102200112000000000
41033101110213100
510210431102234
6335545130000
744646211563
oct11721244720
93380460000
101329940944
11622798352
12311489900
131826bc107
14c88b64da
157bb56899
hex4f4549d0

1329940944 has 200 divisors, whose sum is σ = 3997785792. Its totient is φ = 428302080.

The previous prime is 1329940943. The next prime is 1329940949. The reversal of 1329940944 is 4490499231.

It is a super-2 number, since 2×13299409442 = 3537485829055222272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1329940944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329940943) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12911997 + ... + 12912099.

Almost surely, 21329940944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329940944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998892896).

1329940944 is an abundant number, since it is smaller than the sum of its proper divisors (2667844848).

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

1329940944 is an frugal number, since it uses more digits than its factorization.

1329940944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1329940944 is about 36468.3553783277. The cubic root of 1329940944 is about 1099.7081716210.

The spelling of 1329940944 in words is "one billion, three hundred twenty-nine million, nine hundred forty thousand, nine hundred forty-four".