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2303340512 = 2511219131239
BaseRepresentation
bin1000100101001010…
…0010111111100000
312221112010211011212
42021102202333200
514204123344022
61020320325252
7111036033314
oct21122427740
95845124155
102303340512
11a821a2900
12543473828
132a92747a5
1417bc9bb44
15d73313e2
hex894a2fe0

2303340512 has 144 divisors (see below), whose sum is σ = 5308934400. Its totient is φ = 980179200.

The previous prime is 2303340509. The next prime is 2303340527. The reversal of 2303340512 is 2150433032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9637289 + ... + 9637527.

It is an arithmetic number, because the mean of its divisors is an integer number (36867600).

Almost surely, 22303340512 is an apocalyptic number.

2303340512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303340512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654467200).

2303340512 is an abundant number, since it is smaller than the sum of its proper divisors (3005593888).

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

2303340512 is a wasteful number, since it uses less digits than its factorization.

2303340512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 2303340512 is about 47993.1298416763. The cubic root of 2303340512 is about 1320.6448700904.

Adding to 2303340512 its reverse (2150433032), we get a palindrome (4453773544).

The spelling of 2303340512 in words is "two billion, three hundred three million, three hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 121 131 152 176 209 239 242 262 304 352 418 478 484 524 608 836 956 968 1048 1441 1672 1912 1936 2096 2299 2489 2629 2882 3344 3824 3872 4192 4541 4598 4978 5258 5764 6688 7648 9082 9196 9956 10516 11528 15851 18164 18392 19912 21032 23056 27379 28919 31309 31702 36328 36784 39824 42064 46112 49951 54758 57838 62618 63404 72656 73568 79648 84128 99902 109516 115676 125236 126808 145312 199804 219032 231352 250472 253616 301169 344399 399608 438064 462704 500944 507232 549461 594871 602338 688798 799216 876128 925408 1001888 1098922 1189742 1204676 1377596 1598432 2197844 2379484 2409352 2755192 3788389 4395688 4758968 4818704 5510384 6543581 7576778 8791376 9517936 9637408 11020768 13087162 15153556 17582752 19035872 26174324 30307112 52348648 60614224 71979391 104697296 121228448 143958782 209394592 287917564 575835128 1151670256 2303340512