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1344372480 = 28325111032
BaseRepresentation
bin101000000100001…
…0111111100000000
310110200200012100100
41100020113330000
510223124404410
6341222322400
745212656203
oct12010277400
93420605310
101344372480
1162a954a40
12316289400
131856a2a99
14ca79193a
157d0578c0
hex50217f00

1344372480 has 324 divisors, whose sum is σ = 5123985048. Its totient is φ = 322744320.

The previous prime is 1344372457. The next prime is 1344372509. The reversal of 1344372480 is 842734431.

1344372480 is a `hidden beast` number, since 134 + 43 + 7 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 13052109 + ... + 13052211.

Almost surely, 21344372480 is an apocalyptic number.

1344372480 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 1344372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561992524).

1344372480 is an abundant number, since it is smaller than the sum of its proper divisors (3779612568).

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

1344372480 is a wasteful number, since it uses less digits than its factorization.

1344372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1344372480 is about 36665.6853202010. The cubic root of 1344372480 is about 1103.6716099530.

The spelling of 1344372480 in words is "one billion, three hundred forty-four million, three hundred seventy-two thousand, four hundred eighty".