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2340416130 = 2351337592749
BaseRepresentation
bin1000101101111111…
…1110101010000010
320001002220110100220
42023133332222002
514243121304010
61024123123510
7111666131433
oct21337765202
96032813326
102340416130
11aa1116308
12553973596
132b3b56220
14182b8d48a
15da706970
hex8b7fea82

2340416130 has 128 divisors (see below), whose sum is σ = 6320160000. Its totient is φ = 550831104.

The previous prime is 2340416107. The next prime is 2340416131. The reversal of 2340416130 is 316140432.

It is a self number, because there is not a number n which added to its sum of digits gives 2340416130.

It is not an unprimeable number, because it can be changed into a prime (2340416131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 849996 + ... + 852744.

It is an arithmetic number, because the mean of its divisors is an integer number (49376250).

Almost surely, 22340416130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340416130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160080000).

2340416130 is an abundant number, since it is smaller than the sum of its proper divisors (3979743870).

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

2340416130 is a wasteful number, since it uses less digits than its factorization.

2340416130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2340416130 is about 48377.8475130922. The cubic root of 2340416130 is about 1327.6930876282.

Adding to 2340416130 its reverse (316140432), we get a palindrome (2656556562).

The spelling of 2340416130 in words is "two billion, three hundred forty million, four hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 59 65 74 78 111 118 130 177 185 195 222 295 354 370 390 481 555 590 767 885 962 1110 1443 1534 1770 2183 2301 2405 2749 2886 3835 4366 4602 4810 5498 6549 7215 7670 8247 10915 11505 13098 13745 14430 16494 21830 23010 27490 28379 32745 35737 41235 56758 65490 71474 82470 85137 101713 107211 141895 162191 170274 178685 203426 214422 283790 305139 324382 357370 425685 486573 508565 536055 610278 810955 851370 973146 1017130 1072110 1322269 1525695 1621910 2108483 2432865 2644538 3051390 3966807 4216966 4865730 6001067 6325449 6611345 7933614 10542415 12002134 12650898 13222690 18003201 19834035 21084830 30005335 31627245 36006402 39668070 60010670 63254490 78013871 90016005 156027742 180032010 234041613 390069355 468083226 780138710 1170208065 2340416130