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2313410340 = 2235314093041
BaseRepresentation
bin1000100111100011…
…1101011100100100
312222020002102101110
42021320331130210
514214213112330
61021320225020
7111220443363
oct21170753444
95866072343
102313410340
11a8795047a
1254690b170
132ab38c077
1417d35d7da
15d816edb0
hex89e3d724

2313410340 has 96 divisors (see below), whose sum is σ = 6705054720. Its totient is φ = 595353600.

The previous prime is 2313410293. The next prime is 2313410347. The reversal of 2313410340 is 430143132.

2313410340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2313410347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759220 + ... + 762260.

It is an arithmetic number, because the mean of its divisors is an integer number (69844320).

Almost surely, 22313410340 is an apocalyptic number.

2313410340 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 2313410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352527360).

2313410340 is an abundant number, since it is smaller than the sum of its proper divisors (4391644380).

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

2313410340 is a wasteful number, since it uses less digits than its factorization.

2313410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2313410340 is about 48097.9244874454. The cubic root of 2313410340 is about 1322.5666200718.

Adding to 2313410340 its reverse (430143132), we get a palindrome (2743553472).

The spelling of 2313410340 in words is "two billion, three hundred thirteen million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 409 465 620 818 930 1227 1636 1860 2045 2454 3041 4090 4908 6082 6135 8180 9123 12164 12270 12679 15205 18246 24540 25358 30410 36492 38037 45615 50716 60820 63395 76074 91230 94271 126790 152148 182460 188542 190185 253580 282813 377084 380370 471355 565626 760740 942710 1131252 1243769 1414065 1885420 2487538 2828130 3731307 4975076 5656260 6218845 7462614 12437690 14925228 18656535 24875380 37313070 38556839 74626140 77113678 115670517 154227356 192784195 231341034 385568390 462682068 578352585 771136780 1156705170 2313410340