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1348944480 = 2532513223241
BaseRepresentation
bin101000001100111…
…0100001001100000
310111000021110221200
41100121310021200
510230312210410
6341504321200
745266560512
oct12031641140
93430243850
101348944480
11632497a54
12317913200
13186613b00
14cb221bb2
157d65c3c0
hex50674260

1348944480 has 432 divisors, whose sum is σ = 5222913696. Its totient is φ = 316293120.

The previous prime is 1348944473. The next prime is 1348944497. The reversal of 1348944480 is 844498431.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 5597160 + ... + 5597400.

It is an arithmetic number, because the mean of its divisors is an integer number (12090078).

Almost surely, 21348944480 is an apocalyptic number.

1348944480 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 1348944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611456848).

1348944480 is an abundant number, since it is smaller than the sum of its proper divisors (3873969216).

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

1348944480 is a wasteful number, since it uses less digits than its factorization.

1348944480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1348944480 is about 36727.9795251522. The cubic root of 1348944480 is about 1104.9213323465.

The spelling of 1348944480 in words is "one billion, three hundred forty-eight million, nine hundred forty-four thousand, four hundred eighty".