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1309346900 = 225213093469
BaseRepresentation
bin100111000001011…
…0000110001010100
310101020202201021122
41032002300301110
510140143100100
6333531503112
744306156621
oct11602606124
93336681248
101309346900
11612101784
123065b7a98
1317b35b4a4
14c5c75348
1579e39985
hex4e0b0c54

1309346900 has 18 divisors (see below), whose sum is σ = 2841282990. Its totient is φ = 523738720.

The previous prime is 1309346893. The next prime is 1309346917. The reversal of 1309346900 is 96439031.

It can be written as a sum of positive squares in 3 ways, for example, as 22259524 + 1287087376 = 4718^2 + 35876^2 .

It is a super-2 number, since 2×13093469002 = 3428778609079220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6546635 + ... + 6546834.

It is an arithmetic number, because the mean of its divisors is an integer number (157849055).

Almost surely, 21309346900 is an apocalyptic number.

1309346900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1309346900 is an abundant number, since it is smaller than the sum of its proper divisors (1531936090).

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

1309346900 is a wasteful number, since it uses less digits than its factorization.

1309346900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13093483 (or 13093476 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 1309346900 is about 36184.8987838850. The cubic root of 1309346900 is about 1094.0023161019.

The spelling of 1309346900 in words is "one billion, three hundred nine million, three hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13093469 26186938 52373876 65467345 130934690 261869380 327336725 654673450 1309346900