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1345831200 = 25355272343
BaseRepresentation
bin101000000110111…
…1100000100100000
310110210102022100000
41100031330010200
510224013044300
6341313500000
745231243060
oct12015740440
93423368300
101345831200
1163076099a
12316871600
13185a93a2c
14caa513a0
157d244c00
hex5037c120

1345831200 has 864 divisors, whose sum is σ = 6005615616. Its totient is φ = 287400960.

The previous prime is 1345831189. The next prime is 1345831213. The reversal of 1345831200 is 21385431.

It is a happy number.

1345831200 is a `hidden beast` number, since 1 + 3 + 458 + 3 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×13458312002 = 3622523237786880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31298379 + ... + 31298421.

It is an arithmetic number, because the mean of its divisors is an integer number (6950944).

Almost surely, 21345831200 is an apocalyptic number.

1345831200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002807808).

1345831200 is an abundant number, since it is smaller than the sum of its proper divisors (4659784416).

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

1345831200 is a wasteful number, since it uses less digits than its factorization.

1345831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1345831200 is about 36685.5720958526. The cubic root of 1345831200 is about 1104.0706476529.

The spelling of 1345831200 in words is "one billion, three hundred forty-five million, eight hundred thirty-one thousand, two hundred".