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1338452040 = 2335103108289
BaseRepresentation
bin100111111000111…
…0010100001001000
310110021112102000210
41033301302201020
510220120431130
6340451401120
745111440352
oct11761624110
93407472023
101338452040
11627580912
123142b31a0
131843ac073
14c9a900d2
157c7885b0
hex4fc72848

1338452040 has 64 divisors (see below), whose sum is σ = 4054377600. Its totient is φ = 353452032.

The previous prime is 1338452039. The next prime is 1338452047. The reversal of 1338452040 is 402548331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1338451989 and 1338452007.

It is not an unprimeable number, because it can be changed into a prime (1338452047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41785 + ... + 66504.

It is an arithmetic number, because the mean of its divisors is an integer number (63349650).

Almost surely, 21338452040 is an apocalyptic number.

1338452040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338452040 is an abundant number, since it is smaller than the sum of its proper divisors (2715925560).

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

1338452040 is a wasteful number, since it uses less digits than its factorization.

1338452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108406 (or 108402 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1338452040 is about 36584.8608033432. The cubic root of 1338452040 is about 1102.0490841694.

The spelling of 1338452040 in words is "one billion, three hundred thirty-eight million, four hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 12360 108289 216578 324867 433156 541445 649734 866312 1082890 1299468 1624335 2165780 2598936 3248670 4331560 6497340 11153767 12994680 22307534 33461301 44615068 55768835 66922602 89230136 111537670 133845204 167306505 223075340 267690408 334613010 446150680 669226020 1338452040