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1380431808 = 26347109349
BaseRepresentation
bin101001001000111…
…1011011111000000
310120012112012110000
41102101323133000
510311342304213
6344551240000
746131322350
oct12221733700
93505465400
101380431808
11649243938
12326379000
1318ccb9a72
14d149ab60
15812cbc73
hex5247b7c0

1380431808 has 280 divisors, whose sum is σ = 4733036000. Its totient is φ = 389670912.

The previous prime is 1380431797. The next prime is 1380431821. The reversal of 1380431808 is 8081340831.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3955218 + ... + 3955566.

It is an arithmetic number, because the mean of its divisors is an integer number (16903700).

Almost surely, 21380431808 is an apocalyptic number.

1380431808 is a gapful number since it is divisible by the number (18) 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 1380431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366518000).

1380431808 is an abundant number, since it is smaller than the sum of its proper divisors (3352604192).

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

1380431808 is a wasteful number, since it uses less digits than its factorization.

1380431808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1380431808 is about 37154.1627277483. The cubic root of 1380431808 is about 1113.4523919990.

The spelling of 1380431808 in words is "one billion, three hundred eighty million, four hundred thirty-one thousand, eight hundred eight".