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2394243904 = 26138833259
BaseRepresentation
bin1000111010110101…
…0100001101000000
320011212012012012011
42032231110031000
514400411301104
61033324542304
7113221510633
oct21655241500
96155165164
102394243904
111019540978
125699b1994
132c2051990
14189da1c1a
15e02da904
hex8eb54340

2394243904 has 56 divisors (see below), whose sum is σ = 5123911520. Its totient is φ = 1103445504.

The previous prime is 2394243851. The next prime is 2394243911. The reversal of 2394243904 is 4093424932.

It is a happy number.

It is a super-2 number, since 2×23942439042 = 11464807743682322432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 733027 + ... + 736285.

It is an arithmetic number, because the mean of its divisors is an integer number (91498420).

Almost surely, 22394243904 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 2394243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561955760).

2394243904 is an abundant number, since it is smaller than the sum of its proper divisors (2729667616).

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

2394243904 is a wasteful number, since it uses less digits than its factorization.

2394243904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 2394243904 is about 48931.0116797109. The cubic root of 2394243904 is about 1337.7946765520.

The spelling of 2394243904 in words is "two billion, three hundred ninety-four million, two hundred forty-three thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 883 1766 3259 3532 6518 7064 11479 13036 14128 22958 26072 28256 42367 45916 52144 56512 84734 91832 104288 169468 183664 208576 338936 367328 677872 734656 1355744 2711488 2877697 5755394 11510788 23021576 37410061 46043152 74820122 92086304 149640244 184172608 299280488 598560976 1197121952 2394243904