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1380409344 = 21333792
BaseRepresentation
bin101001001000111…
…0110000000000000
310120012111001122000
41102101312000000
510311341044334
6344550544000
746131200016
oct12221660000
93505431560
101380409344
11649228a76
12326368000
1318ccac782
14d14928b6
15812c5299
hex52476000

1380409344 has 168 divisors, whose sum is σ = 4142277720. Its totient is φ = 454311936.

The previous prime is 1380409307. The next prime is 1380409369. The reversal of 1380409344 is 4439040831.

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

It is a junction number, because it is equal to n+sod(n) for n = 1380409299 and 1380409308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17473497 + ... + 17473575.

It is an arithmetic number, because the mean of its divisors is an integer number (24656415).

Almost surely, 21380409344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071138860).

1380409344 is an abundant number, since it is smaller than the sum of its proper divisors (2761868376).

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

1380409344 is an frugal number, since it uses more digits than its factorization.

1380409344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1380409344 is about 37153.8604185352. The cubic root of 1380409344 is about 1113.4463521666.

The spelling of 1380409344 in words is "one billion, three hundred eighty million, four hundred nine thousand, three hundred forty-four".