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12304004240 = 24511103913457
BaseRepresentation
bin10110111010110000…
…00011010010010000
31011202111011011202202
423131120003102100
5200144311113430
65352525302332
7613622211323
oct133530032220
934674134682
1012304004240
115244320550
1224747049a8
1312111350a8
1484a1547ba
154c02c0d45
hex2dd603490

12304004240 has 80 divisors (see below), whose sum is σ = 31239786240. Its totient is φ = 4469544960.

The previous prime is 12304004239. The next prime is 12304004243. The reversal of 12304004240 is 4240040321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12304004243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907592 + ... + 921048.

It is an arithmetic number, because the mean of its divisors is an integer number (390497328).

Almost surely, 212304004240 is an apocalyptic number.

12304004240 is a gapful number since it is divisible by the number (10) 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 12304004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619893120).

12304004240 is an abundant number, since it is smaller than the sum of its proper divisors (18935782000).

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

12304004240 is a wasteful number, since it uses less digits than its factorization.

12304004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14520 (or 14514 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12304004240 its reverse (4240040321), we get a palindrome (16544044561).

The spelling of 12304004240 in words is "twelve billion, three hundred four million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1039 2078 4156 5195 8312 10390 11429 13457 16624 20780 22858 26914 41560 45716 53828 57145 67285 83120 91432 107656 114290 134570 148027 182864 215312 228580 269140 296054 457160 538280 592108 740135 914320 1076560 1184216 1480270 2368432 2960540 5921080 11842160 13981823 27963646 55927292 69909115 111854584 139818230 153800053 223709168 279636460 307600106 559272920 615200212 769000265 1118545840 1230400424 1538000530 2460800848 3076001060 6152002120 12304004240