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1338107932 = 2273122232
BaseRepresentation
bin100111111000001…
…1110100000011100
310110020212221000001
41033300132200130
510220023423212
6340440144044
745105505210
oct11760364034
93406787001
101338107932
11627366327
12314168024
131842bb555
14c9a00940
157c71b657
hex4fc1e81c

1338107932 has 54 divisors (see below), whose sum is σ = 2777786424. Its totient is φ = 552486960.

The previous prime is 1338107929. The next prime is 1338107959. The reversal of 1338107932 is 2397018331.

It is a super-3 number, since 3×13381079323 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1338107891 and 1338107900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6000373 + ... + 6000595.

Almost surely, 21338107932 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 1338107932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388893212).

1338107932 is an abundant number, since it is smaller than the sum of its proper divisors (1439678492).

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

1338107932 is an equidigital number, since it uses as much as digits as its factorization.

1338107932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 1338107932 is about 36580.1576267790. The cubic root of 1338107932 is about 1101.9546326691.

The spelling of 1338107932 in words is "one billion, three hundred thirty-eight million, one hundred seven thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 223 434 446 868 892 961 1561 1922 3122 3844 6244 6727 6913 13454 13826 26908 27652 48391 49729 96782 99458 193564 198916 214303 348103 428606 696206 857212 1392412 1500121 1541599 3000242 3083198 6000484 6166396 10791193 21582386 43164772 47789569 95579138 191158276 334526983 669053966 1338107932