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1374840000 = 2633541967
BaseRepresentation
bin101000111110010…
…0110010011000000
310112211000002221000
41101330212103000
510303424340000
6344231332000
746032642612
oct12174462300
93484002830
101374840000
11646074706
12324521000
1318baac7c1
14d0842db2
1580a75000
hex51f264c0

1374840000 has 560 divisors, whose sum is σ = 5395772800. Its totient is φ = 342144000.

The previous prime is 1374839993. The next prime is 1374840011. The reversal of 1374840000 is 484731.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20519967 + ... + 20520033.

Almost surely, 21374840000 is an apocalyptic number.

1374840000 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 1374840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697886400).

1374840000 is an abundant number, since it is smaller than the sum of its proper divisors (4020932800).

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

1374840000 is an equidigital number, since it uses as much as digits as its factorization.

1374840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1374840000 is about 37078.8349331529. The cubic root of 1374840000 is about 1111.9469118765.

The spelling of 1374840000 in words is "one billion, three hundred seventy-four million, eight hundred forty thousand".