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1348730880 = 2183573
BaseRepresentation
bin101000001100100…
…0000000000000000
310110222212121221120
41100121000000000
510230233342010
6341455552240
745265011000
oct12031000000
93428777846
101348730880
11632361522
1231782b680
1318656a813
14cb1a8000
157d618e70
hex50640000

1348730880 has 304 divisors, whose sum is σ = 5033155200. Its totient is φ = 308281344.

The previous prime is 1348730863. The next prime is 1348730891. The reversal of 1348730880 is 880378431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192675837 + ... + 192675843.

Almost surely, 21348730880 is an apocalyptic number.

1348730880 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 1348730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516577600).

1348730880 is an abundant number, since it is smaller than the sum of its proper divisors (3684424320).

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

1348730880 is an frugal number, since it uses more digits than its factorization.

1348730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1348730880 is about 36725.0715451992. The cubic root of 1348730880 is about 1104.8630093001.

The spelling of 1348730880 in words is "one billion, three hundred forty-eight million, seven hundred thirty thousand, eight hundred eighty".