Search a number
-
+
3042388566 = 233719371072
BaseRepresentation
bin1011010101010111…
…0010101001010110
321212000210100112000
42311111302221112
522212322413231
61221520540130
7135251606340
oct26525625126
97760710460
103042388566
111321392618
1270aa81646
13396406329
1420c0bc290
1512c1686e6
hexb5572a56

3042388566 has 192 divisors, whose sum is σ = 8431987200. Its totient is φ = 793758528.

The previous prime is 3042388541. The next prime is 3042388567. The reversal of 3042388566 is 6658832403.

It is a happy number.

3042388566 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 3 + 88 + 566 = 666.

It is a super-2 number, since 2×30423885662 = 18512256373055072712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042388567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28433485 + ... + 28433591.

It is an arithmetic number, because the mean of its divisors is an integer number (43916600).

Almost surely, 23042388566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042388566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215993600).

3042388566 is an abundant number, since it is smaller than the sum of its proper divisors (5389598634).

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

3042388566 is a wasteful number, since it uses less digits than its factorization.

3042388566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3042388566 is about 55157.8513540910. The cubic root of 3042388566 is about 1449.0105919351.

The spelling of 3042388566 in words is "three billion, forty-two million, three hundred eighty-eight thousand, five hundred sixty-six".