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2412434112 = 263112103841
BaseRepresentation
bin1000111111001010…
…1101001011000000
320020010102100110120
42033302231023000
514420040342422
61035214500240
7113532231414
oct21762551300
96203370416
102412434112
111028835500
12573b04680
132c5a5040a
1418c578d44
15e1bd045c
hex8fcad2c0

2412434112 has 84 divisors (see below), whose sum is σ = 7015980888. Its totient is φ = 731033600.

The previous prime is 2412434083. The next prime is 2412434119. The reversal of 2412434112 is 2114342142.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (2412434119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28689 + ... + 75152.

It is an arithmetic number, because the mean of its divisors is an integer number (83523582).

Almost surely, 22412434112 is an apocalyptic number.

2412434112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2412434112 is an abundant number, since it is smaller than the sum of its proper divisors (4603546776).

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

2412434112 is a wasteful number, since it uses less digits than its factorization.

2412434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103878 (or 103857 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2412434112 is about 49116.5360342115. The cubic root of 2412434112 is about 1341.1740864513.

Adding to 2412434112 its reverse (2114342142), we get a palindrome (4526776254).

The spelling of 2412434112 in words is "two billion, four hundred twelve million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232 103841 207682 311523 415364 623046 830728 1142251 1246092 1661456 2284502 2492184 3322912 3426753 4569004 4984368 6645824 6853506 9138008 9968736 12564761 13707012 18276016 19937472 25129522 27414024 36552032 37694283 50259044 54828048 73104064 75388566 100518088 109656096 150777132 201036176 219312192 301554264 402072352 603108528 804144704 1206217056 2412434112