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1338420369 = 311135952879
BaseRepresentation
bin100111111000110…
…1010110010010001
310110021110210120210
41033301222302101
510220113422434
6340450554333
745111246126
oct11761526221
93407423523
101338420369
1162755a040
123142989a9
1318439a820
14c9a8274d
157c77dee9
hex4fc6ac91

1338420369 has 32 divisors (see below), whose sum is σ = 2132121600. Its totient is φ = 736061760.

The previous prime is 1338420367. The next prime is 1338420371. The reversal of 1338420369 is 9630248331.

1338420369 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1338420367) and next prime (1338420371).

It is not a de Polignac number, because 1338420369 - 21 = 1338420367 is a prime.

It is a super-2 number, since 2×13384203692 = 3582738168308192322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1338420367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129 + ... + 51750.

It is an arithmetic number, because the mean of its divisors is an integer number (66628800).

Almost surely, 21338420369 is an apocalyptic number.

It is an amenable number.

1338420369 is a deficient number, since it is larger than the sum of its proper divisors (793701231).

1338420369 is a wasteful number, since it uses less digits than its factorization.

1338420369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52965.

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 1338420369 is about 36584.4279578074. The cubic root of 1338420369 is about 1102.0403917220.

The spelling of 1338420369 in words is "one billion, three hundred thirty-eight million, four hundred twenty thousand, three hundred sixty-nine".

Divisors: 1 3 11 13 33 39 59 143 177 429 649 767 1947 2301 8437 25311 52879 158637 581669 687427 1745007 2062281 3119861 7561697 9359583 22685091 34318471 40558193 102955413 121674579 446140123 1338420369