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2341904040 = 2332572132761
BaseRepresentation
bin1000101110010110…
…1001111010101000
320001012201001101200
42023211221322220
514244011412130
61024215044200
7112014566400
oct21345517250
96035631350
102341904040
11aa1a42193
12554370660
132b4257548
14183059800
15da8ec760
hex8b969ea8

2341904040 has 144 divisors (see below), whose sum is σ = 8853897780. Its totient is φ = 535288320.

The previous prime is 2341903987. The next prime is 2341904087. The reversal of 2341904040 is 404091432.

2341904040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2336948964 + 4955076 = 48342^2 + 2226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2341903995 and 2341904013.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48741 + ... + 84020.

Almost surely, 22341904040 is an apocalyptic number.

2341904040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2341904040 is an abundant number, since it is smaller than the sum of its proper divisors (6511993740).

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

2341904040 is a wasteful number, since it uses less digits than its factorization.

2341904040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132792 (or 132778 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2341904040 is about 48393.2230792701. The cubic root of 2341904040 is about 1327.9743865118.

Adding to 2341904040 its reverse (404091432), we get a palindrome (2745995472).

The spelling of 2341904040 in words is "two billion, three hundred forty-one million, nine hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 132761 265522 398283 531044 663805 796566 929327 1062088 1194849 1327610 1593132 1858654 1991415 2389698 2655220 2787981 3186264 3717308 3982830 4646635 4779396 5310440 5575962 5974245 6505289 7434616 7965660 8363943 9293270 9558792 11151924 11948490 13010578 13939905 15931320 16727886 18586540 19515867 22303848 23896980 26021156 27879810 32526445 33455772 37173080 39031734 41819715 47793960 52042312 55759620 58547601 65052890 66911544 78063468 83639430 97579335 111519240 117095202 130105780 156126936 167278860 195158670 234190404 260211560 292738005 334557720 390317340 468380808 585476010 780634680 1170952020 2341904040