Search a number
-
+
6342381738 = 2327211267887
BaseRepresentation
bin1011110100000100…
…10001000010101010
3121101000022101010100
411322002101002222
5100442122203423
62525203130230
7313112232600
oct57202210252
917330271110
106342381738
112765122300
121290073976
137a0cb5504
14442495870
15271c19343
hex17a0910aa

6342381738 has 216 divisors, whose sum is σ = 17853073056. Its totient is φ = 1620954720.

The previous prime is 6342381719. The next prime is 6342381739. The reversal of 6342381738 is 8371832436.

6342381738 is a `hidden beast` number, since 634 + 2 + 3 + 8 + 1 + 7 + 3 + 8 = 666.

It is a super-2 number, since 2×63423817382 = 80451612221031801288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6342381693 and 6342381702.

It is not an unprimeable number, because it can be changed into a prime (6342381739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7149931 + ... + 7150817.

It is an arithmetic number, because the mean of its divisors is an integer number (82653116).

Almost surely, 26342381738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6342381738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926536528).

6342381738 is an abundant number, since it is smaller than the sum of its proper divisors (11510691318).

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

6342381738 is a wasteful number, since it uses less digits than its factorization.

6342381738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 977 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 6342381738 is about 79639.0716796724. The cubic root of 6342381738 is about 1851.0470564632.

It can be divided in two parts, 63423 and 81738, that added together give a square (145161 = 3812).

The spelling of 6342381738 in words is "six billion, three hundred forty-two million, three hundred eighty-one thousand, seven hundred thirty-eight".