Search a number
-
+
2442434868 = 2232294215557
BaseRepresentation
bin1001000110010100…
…1001100100110100
320022012212112202200
42101211021210310
520000230403433
61042205504500
7114345232236
oct22145114464
96265775680
102442434868
111043766515
12581b72130
132cc025843
14192548256
15e4659613
hex91949934

2442434868 has 72 divisors (see below), whose sum is σ = 6403149480. Its totient is φ = 784062720.

The previous prime is 2442434867. The next prime is 2442434893. The reversal of 2442434868 is 8684342442.

2442434868 is a `hidden beast` number, since 244 + 2 + 4 + 348 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 239259024 + 2203175844 = 15468^2 + 46938^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442434867) 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 23 ways as a sum of consecutive naturals, for example, 436746 + ... + 442302.

Almost surely, 22442434868 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 2442434868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201574740).

2442434868 is an abundant number, since it is smaller than the sum of its proper divisors (3960714612).

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

2442434868 is a wasteful number, since it uses less digits than its factorization.

2442434868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017 (or 6012 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The square root of 2442434868 is about 49420.9962263004. The cubic root of 2442434868 is about 1346.7107610904.

The spelling of 2442434868 in words is "two billion, four hundred forty-two million, four hundred thirty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 421 522 842 1044 1263 1684 2526 3789 5052 5557 7578 11114 12209 15156 16671 22228 24418 33342 36627 48836 50013 66684 73254 100026 109881 146508 161153 200052 219762 322306 439524 483459 644612 966918 1450377 1933836 2339497 2900754 4678994 5801508 7018491 9357988 14036982 21055473 28073964 42110946 67845413 84221892 135690826 203536239 271381652 407072478 610608717 814144956 1221217434 2442434868