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1346000670 = 23257171091153
BaseRepresentation
bin101000000111010…
…0101011100011110
310110210201220210200
41100032211130132
510224034010140
6341321244330
745232550130
oct12016453436
93423656720
101346000670
11630867253
123169336a6
13185b22c01
14caa97050
157d27a030
hex503a571e

1346000670 has 192 divisors, whose sum is σ = 4277370240. Its totient is φ = 286654464.

The previous prime is 1346000651. The next prime is 1346000681. The reversal of 1346000670 is 760006431.

1346000670 is a nontrivial binomial coefficient, being equal to C(51885, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1166814 + ... + 1167966.

It is an arithmetic number, because the mean of its divisors is an integer number (22277970).

Almost surely, 21346000670 is an apocalyptic number.

1346000670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1346000670 is the 51884-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346000670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138685120).

1346000670 is an abundant number, since it is smaller than the sum of its proper divisors (2931369570).

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

1346000670 is a wasteful number, since it uses less digits than its factorization.

1346000670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1346000670 is about 36687.8817867699. The cubic root of 1346000670 is about 1104.1169880358.

The spelling of 1346000670 in words is "one billion, three hundred forty-six million, six hundred seventy", and thus it is an aban number.