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2434229112 = 2337372631489
BaseRepresentation
bin1001000100010111…
…0110001101111000
320021122102122120210
42101011312031320
514441130312422
61041313551120
7114215414610
oct22105661570
96248378523
102434229112
11103a0713a7
1257b2754a0
132ca411873
1419140da40
15e3a8810c
hex91176378

2434229112 has 128 divisors (see below), whose sum is σ = 7174886400. Its totient is φ = 673671168.

The previous prime is 2434229111. The next prime is 2434229129. The reversal of 2434229112 is 2119224342.

It is a self number, because there is not a number n which added to its sum of digits gives 2434229112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434229111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1634064 + ... + 1635552.

It is an arithmetic number, because the mean of its divisors is an integer number (56053800).

Almost surely, 22434229112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434229112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587443200).

2434229112 is an abundant number, since it is smaller than the sum of its proper divisors (4740657288).

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

2434229112 is a wasteful number, since it uses less digits than its factorization.

2434229112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1801 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2434229112 is about 49337.9074546134. The cubic root of 2434229112 is about 1345.2009045625.

The spelling of 2434229112 in words is "two billion, four hundred thirty-four million, two hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 263 296 444 518 526 777 789 888 1036 1052 1489 1554 1578 1841 2072 2104 2978 3108 3156 3682 4467 5523 5956 6216 6312 7364 8934 9731 10423 11046 11912 14728 17868 19462 20846 22092 29193 31269 35736 38924 41692 44184 55093 58386 62538 68117 77848 83384 110186 116772 125076 136234 165279 204351 220372 233544 250152 272468 330558 385651 391607 408702 440744 544936 661116 771302 783214 817404 1156953 1174821 1322232 1542604 1566428 1634808 2313906 2349642 2741249 3085208 3132856 4627812 4699284 5482498 8223747 9255624 9398568 10964996 14489459 16447494 21929992 28978918 32894988 43468377 57957836 65789976 86936754 101426213 115915672 173873508 202852426 304278639 347747016 405704852 608557278 811409704 1217114556 2434229112