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2332304256 = 27317615857
BaseRepresentation
bin1000101100000100…
…0010001110000000
320000112122022222010
42023001002032000
514234032214011
61023233212520
7111540154602
oct21301021600
96015568863
102332304256
11a97585787
12551101140
132b2275bb9
14181a7b172
15d9b531a6
hex8b042380

2332304256 has 128 divisors (see below), whose sum is σ = 6668278560. Its totient is φ = 719585280.

The previous prime is 2332304231. The next prime is 2332304269. The reversal of 2332304256 is 6524032332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395280 + ... + 401136.

Almost surely, 22332304256 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 2332304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334139280).

2332304256 is an abundant number, since it is smaller than the sum of its proper divisors (4335974304).

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

2332304256 is a wasteful number, since it uses less digits than its factorization.

2332304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 2332304256 is about 48293.9360168541. The cubic root of 2332304256 is about 1326.1573855034.

Adding to 2332304256 its reverse (6524032332), we get a palindrome (8856336588).

The spelling of 2332304256 in words is "two billion, three hundred thirty-two million, three hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 64 68 96 102 122 128 136 183 192 204 244 272 366 384 408 488 544 732 816 976 1037 1088 1464 1632 1952 2074 2176 2928 3111 3264 3904 4148 5856 5857 6222 6528 7808 8296 11712 11714 12444 16592 17571 23424 23428 24888 33184 35142 46856 49776 66368 70284 93712 99552 99569 132736 140568 187424 199104 199138 281136 298707 357277 374848 398208 398276 562272 597414 714554 749696 796552 1071831 1124544 1194828 1429108 1593104 2143662 2249088 2389656 2858216 3186208 4287324 4779312 5716432 6073709 6372416 8574648 9558624 11432864 12147418 12744832 17149296 18221127 19117248 22865728 24294836 34298592 36442254 38234496 45731456 48589672 68597184 72884508 97179344 137194368 145769016 194358688 291538032 388717376 583076064 777434752 1166152128 2332304256