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1329744100 = 225213297441
BaseRepresentation
bin100111101000010…
…0100100011100100
310102200010222222111
41033100210203210
510210403302400
6335541010404
744644431646
oct11720444344
93380128874
101329744100
11622673473
123113b3a04
13182650639
14c8864896
157bb183ba
hex4f4248e4

1329744100 has 18 divisors (see below), whose sum is σ = 2885544914. Its totient is φ = 531897600.

The previous prime is 1329744067. The next prime is 1329744107. The reversal of 1329744100 is 14479231.

It can be written as a sum of positive squares in 3 ways, for example, as 345290724 + 984453376 = 18582^2 + 31376^2 .

It is not an unprimeable number, because it can be changed into a prime (1329744107) 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 5 ways as a sum of consecutive naturals, for example, 6648621 + ... + 6648820.

Almost surely, 21329744100 is an apocalyptic number.

1329744100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1329744100 is an abundant number, since it is smaller than the sum of its proper divisors (1555800814).

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

1329744100 is a wasteful number, since it uses less digits than its factorization.

1329744100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297455 (or 13297448 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1329744100 is about 36465.6564454831. The cubic root of 1329744100 is about 1099.6539131626.

The spelling of 1329744100 in words is "one billion, three hundred twenty-nine million, seven hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13297441 26594882 53189764 66487205 132974410 265948820 332436025 664872050 1329744100