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2304204140 = 2257174720599
BaseRepresentation
bin1000100101010111…
…0101110101101100
312221120202200212002
42021111311311230
514204334013030
61020351031432
7111046261220
oct21125656554
95846680762
102304204140
11a82732747
1254380b578
132a94b7904
1417c044780
15d7452245
hex89575d6c

2304204140 has 96 divisors (see below), whose sum is σ = 5980262400. Its totient is φ = 727686144.

The previous prime is 2304204079. The next prime is 2304204151. The reversal of 2304204140 is 414024032.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101561 + ... + 122159.

It is an arithmetic number, because the mean of its divisors is an integer number (62294400).

Almost surely, 22304204140 is an apocalyptic number.

2304204140 is a gapful number since it is divisible by the number (20) 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 2304204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990131200).

2304204140 is an abundant number, since it is smaller than the sum of its proper divisors (3676058260).

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

2304204140 is a wasteful number, since it uses less digits than its factorization.

2304204140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20679 (or 20677 counting only the distinct ones).

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

The square root of 2304204140 is about 48002.1264112331. The cubic root of 2304204140 is about 1320.8099062431.

Adding to 2304204140 its reverse (414024032), we get a palindrome (2718228172).

The spelling of 2304204140 in words is "two billion, three hundred four million, two hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 47 68 70 85 94 119 140 170 188 235 238 329 340 470 476 595 658 799 940 1190 1316 1598 1645 2380 3196 3290 3995 5593 6580 7990 11186 15980 20599 22372 27965 41198 55930 82396 102995 111860 144193 205990 288386 350183 411980 576772 700366 720965 968153 1400732 1441930 1750915 1936306 2451281 2883860 3501830 3872612 4840765 4902562 6777071 7003660 9681530 9805124 12256405 13554142 16458601 19363060 24512810 27108284 32917202 33885355 49025620 65834404 67770710 82293005 115210207 135541420 164586010 230420414 329172020 460840828 576051035 1152102070 2304204140