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1349676432 = 2438132343
BaseRepresentation
bin101000001110010…
…0110110110010000
310111001122200000000
41100130212312100
510231004121212
6341532130000
745306026466
oct12034466620
93431580000
101349676432
11632947975
12318006900
1318680c010
14cb372836
157d7541dc
hex50726d90

1349676432 has 360 divisors, whose sum is σ = 4510169664. Its totient is φ = 387991296.

The previous prime is 1349676413. The next prime is 1349676451. The reversal of 1349676432 is 2346769431.

It is an interprime number because it is at equal distance from previous prime (1349676413) and next prime (1349676451).

Its product of digits (653184) is a multiple of the sum of its prime divisors (84).

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 71 ways as a sum of consecutive naturals, for example, 31387803 + ... + 31387845.

Almost surely, 21349676432 is an apocalyptic number.

1349676432 is a gapful number since it is divisible by the number (12) 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 1349676432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255084832).

1349676432 is an abundant number, since it is smaller than the sum of its proper divisors (3160493232).

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

1349676432 is an equidigital number, since it uses as much as digits as its factorization.

1349676432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 1349676432 is about 36737.9426751145. The cubic root of 1349676432 is about 1105.1211436697.

The spelling of 1349676432 in words is "one billion, three hundred forty-nine million, six hundred seventy-six thousand, four hundred thirty-two".