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2342442024 = 2333134717749
BaseRepresentation
bin1000101110011110…
…1101010000101000
320001020201101101000
42023213231100220
514244131121044
61024234355000
7112022300016
oct21347552050
96036641330
102342442024
11aa227a3aa
1255458ba60
132b43b5390
141831598b6
15da9a6d69
hex8b9ed428

2342442024 has 128 divisors (see below), whose sum is σ = 7156800000. Its totient is φ = 705376512.

The previous prime is 2342442001. The next prime is 2342442043. The reversal of 2342442024 is 4202442432.

2342442024 is a `hidden beast` number, since 234 + 2 + 4 + 420 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123102 + ... + 140850.

It is an arithmetic number, because the mean of its divisors is an integer number (55912500).

Almost surely, 22342442024 is an apocalyptic number.

2342442024 is a gapful number since it is divisible by the number (24) 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 2342442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578400000).

2342442024 is an abundant number, since it is smaller than the sum of its proper divisors (4814357976).

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

2342442024 is a wasteful number, since it uses less digits than its factorization.

2342442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17824 (or 17814 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2342442024 is about 48398.7812243242. The cubic root of 2342442024 is about 1328.0760664926.

Adding to 2342442024 its reverse (4202442432), we get a palindrome (6544884456).

The spelling of 2342442024 in words is "two billion, three hundred forty-two million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 47 52 54 72 78 94 104 108 117 141 156 188 216 234 282 312 351 376 423 468 564 611 702 846 936 1128 1222 1269 1404 1692 1833 2444 2538 2808 3384 3666 4888 5076 5499 7332 10152 10998 14664 16497 17749 21996 32994 35498 43992 53247 65988 70996 106494 131976 141992 159741 212988 230737 319482 425976 461474 479223 638964 692211 834203 922948 958446 1277928 1384422 1668406 1845896 1916892 2076633 2502609 2768844 3336812 3833784 4153266 5005218 5537688 6229899 6673624 7507827 8306532 10010436 10844639 12459798 15015654 16613064 20020872 21689278 22523481 24919596 30031308 32533917 43378556 45046962 49839192 60062616 65067834 86757112 90093924 97601751 130135668 180187848 195203502 260271336 292805253 390407004 585610506 780814008 1171221012 2342442024