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2412402330 = 2351323115349
BaseRepresentation
bin1000111111001010…
…0101011010011010
320020010100201212110
42033302211122122
514420033333310
61035214053150
7113532036642
oct21762453232
96203321773
102412402330
111028813638
12573aaa1b6
132c5a3bb00
1418c56b522
15e1bc5d20
hex8fca569a

2412402330 has 96 divisors (see below), whose sum is σ = 6472051200. Its totient is φ = 574629120.

The previous prime is 2412402277. The next prime is 2412402347. The reversal of 2412402330 is 332042142.

It is a junction number, because it is equal to n+sod(n) for n = 2412402297 and 2412402306.

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 47 ways as a sum of consecutive naturals, for example, 149496 + ... + 164844.

It is an arithmetic number, because the mean of its divisors is an integer number (67417200).

Almost surely, 22412402330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412402330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236025600).

2412402330 is an abundant number, since it is smaller than the sum of its proper divisors (4059648870).

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

2412402330 is a wasteful number, since it uses less digits than its factorization.

2412402330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15416 (or 15403 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2412402330 is about 49116.2124964863. The cubic root of 2412402330 is about 1341.1681967731.

Adding to 2412402330 its reverse (332042142), we get a palindrome (2744444472).

The spelling of 2412402330 in words is "two billion, four hundred twelve million, four hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 169 186 195 310 338 390 403 465 507 806 845 930 1014 1209 1690 2015 2418 2535 4030 5070 5239 6045 10478 12090 15349 15717 26195 30698 31434 46047 52390 76745 78585 92094 153490 157170 199537 230235 399074 460470 475819 598611 951638 997685 1197222 1427457 1995370 2379095 2593981 2854914 2993055 4758190 5187962 5986110 6185647 7137285 7781943 12371294 12969905 14274570 15563886 18556941 25939810 30928235 37113882 38909715 61856470 77819430 80413411 92784705 160826822 185569410 241240233 402067055 482480466 804134110 1206201165 2412402330