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1348448256 = 2123389137
BaseRepresentation
bin101000001011111…
…1011000000000000
310110222100021021000
41100113323000000
510230200321011
6341445532000
745262423011
oct12027730000
93428307230
101348448256
11632189151
12317714000
1318649bc9c
14cb133008
157d5b0356
hex505fb000

1348448256 has 208 divisors, whose sum is σ = 4069288800. Its totient is φ = 441188352.

The previous prime is 1348448237. The next prime is 1348448263. The reversal of 1348448256 is 6528448431.

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 15 ways as a sum of consecutive naturals, for example, 9842620 + ... + 9842756.

Almost surely, 21348448256 is an apocalyptic number.

1348448256 is a gapful number since it is divisible by the number (16) 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 1348448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034644400).

1348448256 is an abundant number, since it is smaller than the sum of its proper divisors (2720840544).

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

1348448256 is an equidigital number, since it uses as much as digits as its factorization.

1348448256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 231 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 1348448256 is about 36721.2235090281. The cubic root of 1348448256 is about 1104.7858299256.

The spelling of 1348448256 in words is "one billion, three hundred forty-eight million, four hundred forty-eight thousand, two hundred fifty-six".