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2341304140 = 2257314091319
BaseRepresentation
bin1000101110001101…
…0111011101001100
320001011120120111011
42023203113131030
514243333213030
61024154135004
7112006520410
oct21343273514
96034516434
102341304140
11aa16724aa
12554121464
132b40a7486
14182d40d40
15da82eb2a
hex8b8d774c

2341304140 has 96 divisors (see below), whose sum is σ = 5818982400. Its totient is φ = 774351360.

The previous prime is 2341304137. The next prime is 2341304149. The reversal of 2341304140 is 414031432.

It is a super-2 number, since 2×23413041402 = 10963410151962279200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2341304149) by changing a digit.

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, 1774401 + ... + 1775719.

It is an arithmetic number, because the mean of its divisors is an integer number (60614400).

Almost surely, 22341304140 is an apocalyptic number.

2341304140 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 2341304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909491200).

2341304140 is an abundant number, since it is smaller than the sum of its proper divisors (3477678260).

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

2341304140 is a wasteful number, since it uses less digits than its factorization.

2341304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2341304140 is about 48387.0245003761. The cubic root of 2341304140 is about 1327.8609859264.

Adding to 2341304140 its reverse (414031432), we get a palindrome (2755335572).

The spelling of 2341304140 in words is "two billion, three hundred forty-one million, three hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 409 434 620 818 868 1085 1319 1636 2045 2170 2638 2863 4090 4340 5276 5726 6595 8180 9233 11452 12679 13190 14315 18466 25358 26380 28630 36932 40889 46165 50716 57260 63395 81778 88753 92330 126790 163556 177506 184660 204445 253580 286223 355012 408890 443765 539471 572446 817780 887530 1078942 1144892 1431115 1775060 2157884 2697355 2862230 3776297 5394710 5724460 7552594 10789420 15105188 16723601 18881485 33447202 37762970 66894404 75525940 83618005 117065207 167236010 234130414 334472020 468260828 585326035 1170652070 2341304140