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2412424344 = 23311113193419
BaseRepresentation
bin1000111111001010…
…1010110010011000
320020010101212001210
42033302222302120
514420040034334
61035214343120
7113532161061
oct21762526230
96203355053
102412424344
111028829130
12573abaaa0
132c5a48b35
1418c575568
15e1bcc5e9
hex8fcaac98

2412424344 has 128 divisors (see below), whose sum is σ = 6687878400. Its totient is φ = 719093760.

The previous prime is 2412424331. The next prime is 2412424351. The reversal of 2412424344 is 4434242142.

2412424344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 5757367 + ... + 5757785.

It is an arithmetic number, because the mean of its divisors is an integer number (52249050).

Almost surely, 22412424344 is an apocalyptic number.

2412424344 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 2412424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343939200).

2412424344 is an abundant number, since it is smaller than the sum of its proper divisors (4275454056).

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

2412424344 is a wasteful number, since it uses less digits than its factorization.

2412424344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 2412424344 is about 49116.4365971311. The cubic root of 2412424344 is about 1341.1722763009.

Adding to 2412424344 its reverse (4434242142), we get a palindrome (6846666486).

The spelling of 2412424344 in words is "two billion, four hundred twelve million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 113 132 193 226 264 339 386 419 452 579 678 772 838 904 1158 1243 1257 1356 1544 1676 2123 2316 2486 2514 2712 3352 3729 4246 4609 4632 4972 5028 6369 7458 8492 9218 9944 10056 12738 13827 14916 16984 18436 21809 25476 27654 29832 36872 43618 47347 50952 55308 65427 80867 87236 94694 110616 130854 142041 161734 174472 189388 239899 242601 261708 284082 323468 378776 479798 485202 520817 523416 568164 646936 719697 889537 959596 970404 1041634 1136328 1439394 1562451 1779074 1919192 1940808 2083268 2668611 2878788 3124902 3558148 4166536 5337222 5757576 6249804 7116296 9137971 10674444 12499608 18275942 21348888 27413913 36551884 54827826 73103768 100517681 109655652 201035362 219311304 301553043 402070724 603106086 804141448 1206212172 2412424344