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1338024820 = 225117185661
BaseRepresentation
bin100111111000000…
…1010001101110100
310110020201200222211
41033300022031310
510220013243240
6340434303204
745105010666
oct11760121564
93406650884
101338024820
11627309940
12314127b04
1318428c782
14c99bc536
157c701bea
hex4fc0a374

1338024820 has 48 divisors (see below), whose sum is σ = 3108502656. Its totient is φ = 479696000.

The previous prime is 1338024781. The next prime is 1338024841. The reversal of 1338024820 is 284208331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27211 + ... + 58450.

It is an arithmetic number, because the mean of its divisors is an integer number (64760472).

Almost surely, 21338024820 is an apocalyptic number.

1338024820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338024820 is an abundant number, since it is smaller than the sum of its proper divisors (1770477836).

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

1338024820 is a wasteful number, since it uses less digits than its factorization.

1338024820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85752 (or 85750 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1338024820 is about 36579.0215834158. The cubic root of 1338024820 is about 1101.9318174817.

The spelling of 1338024820 in words is "one billion, three hundred thirty-eight million, twenty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 85661 171322 342644 428305 856610 942271 1713220 1884542 3769084 4711355 6081931 9422710 12163862 18845420 24327724 30409655 60819310 66901241 121638620 133802482 267604964 334506205 669012410 1338024820