Search a number
-
+
1438308864 = 29322341331
BaseRepresentation
bin101010110111010…
…1101101000000000
310201020102122211200
41111232231220000
510421201340424
6354415541200
750433265206
oct12556555000
93636378750
101438308864
11678984813
1234182a800
1319bca2645
14d9045076
15864108c9
hex55bada00

1438308864 has 240 divisors, whose sum is σ = 4450590144. Its totient is φ = 446054400.

The previous prime is 1438308863. The next prime is 1438308929. The reversal of 1438308864 is 4688038341.

It is not an unprimeable number, because it can be changed into a prime (1438308863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4345179 + ... + 4345509.

Almost surely, 21438308864 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 1438308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225295072).

1438308864 is an abundant number, since it is smaller than the sum of its proper divisors (3012281280).

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

1438308864 is a wasteful number, since it uses less digits than its factorization.

1438308864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1438308864 is about 37925.0427026787. The cubic root of 1438308864 is about 1128.8010004071.

The spelling of 1438308864 in words is "one billion, four hundred thirty-eight million, three hundred eight thousand, eight hundred sixty-four".