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2423334656 = 28291911709
BaseRepresentation
bin1001000001110001…
…0010011100000000
320020212221011012102
42100130102130000
514430333202111
61040244245532
7114024001421
oct22034223400
96225834172
102423334656
111033a00216
125776a08a8
132c8098b42
1418dbb5648
15e2b3513b
hex90712700

2423334656 has 72 divisors (see below), whose sum is σ = 5033145600. Its totient is φ = 1163079680.

The previous prime is 2423334653. The next prime is 2423334673. The reversal of 2423334656 is 6564333242.

It is a super-3 number, since 3×24233346563 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423334653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1417130 + ... + 1418838.

It is an arithmetic number, because the mean of its divisors is an integer number (69904800).

Almost surely, 22423334656 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 2423334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516572800).

2423334656 is an abundant number, since it is smaller than the sum of its proper divisors (2609810944).

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

2423334656 is a wasteful number, since it uses less digits than its factorization.

2423334656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1931 counting only the distinct ones).

The product of its digits is 311040, while the sum is 38.

The square root of 2423334656 is about 49227.3770985211. The cubic root of 2423334656 is about 1343.1910759603.

Adding to 2423334656 its reverse (6564333242), we get a palindrome (8987667898).

The spelling of 2423334656 in words is "two billion, four hundred twenty-three million, three hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 191 232 256 382 464 764 928 1528 1709 1856 3056 3418 3712 5539 6112 6836 7424 11078 12224 13672 22156 24448 27344 44312 48896 49561 54688 88624 99122 109376 177248 198244 218752 326419 354496 396488 437504 652838 708992 792976 1305676 1417984 1585952 2611352 3171904 5222704 6343808 9466151 10445408 12687616 18932302 20890816 37864604 41781632 75729208 83563264 151458416 302916832 605833664 1211667328 2423334656