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1348404344 = 23737012
BaseRepresentation
bin101000001011111…
…0000010001111000
310110222021001000122
41100113300101320
510230142414334
6341444552412
745262151000
oct12027602170
93428231018
101348404344
11632159161
123176b2708
13186484cc1
14cb121000
157d5a232e
hex505f0478

1348404344 has 48 divisors (see below), whose sum is σ = 2952618000. Its totient is φ = 577063200.

The previous prime is 1348404307. The next prime is 1348404361. The reversal of 1348404344 is 4434048431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1923194 + ... + 1923894.

It is an arithmetic number, because the mean of its divisors is an integer number (61512875).

Almost surely, 21348404344 is an apocalyptic number.

1348404344 is a gapful number since it is divisible by the number (14) 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 1348404344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476309000).

1348404344 is an abundant number, since it is smaller than the sum of its proper divisors (1604213656).

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

1348404344 is an frugal number, since it uses more digits than its factorization.

1348404344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The square root of 1348404344 is about 36720.6255937995. The cubic root of 1348404344 is about 1104.7738374046.

The spelling of 1348404344 in words is "one billion, three hundred forty-eight million, four hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 701 1372 1402 2744 2804 4907 5608 9814 19628 34349 39256 68698 137396 240443 274792 480886 491401 961772 982802 1923544 1965604 3439807 3931208 6879614 13759228 24078649 27518456 48157298 96314596 168550543 192629192 337101086 674202172 1348404344