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2434344012 = 2232235949831
BaseRepresentation
bin1001000100011001…
…0010010001001100
320021122122111012100
42101012102101030
514441143002022
61041320235100
7114216403602
oct22106222114
96248574170
102434344012
11103a13a761
1257b30ba90
132ca451c59
1419143d872
15e3aac1ac
hex9119244c

2434344012 has 72 divisors (see below), whose sum is σ = 6529985280. Its totient is φ = 762996960.

The previous prime is 2434343983. The next prime is 2434344089. The reversal of 2434344012 is 2104434342.

It is a happy number.

It is a super-2 number, since 2×24343440122 = 11852061537520512288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23937 + ... + 73767.

It is an arithmetic number, because the mean of its divisors is an integer number (90694240).

Almost surely, 22434344012 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 2434344012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264992640).

2434344012 is an abundant number, since it is smaller than the sum of its proper divisors (4095641268).

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

2434344012 is a wasteful number, since it uses less digits than its factorization.

2434344012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49923 (or 49918 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2434344012 is about 49339.0718599367. The cubic root of 2434344012 is about 1345.2220695317. Note that the first 3 decimals are identical.

Adding to 2434344012 its reverse (2104434342), we get a palindrome (4538778354).

The spelling of 2434344012 in words is "two billion, four hundred thirty-four million, three hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 92 118 138 177 207 236 276 354 414 531 708 828 1062 1357 2124 2714 4071 5428 8142 12213 16284 24426 48852 49831 99662 149493 199324 298986 448479 597972 896958 1146113 1793916 2292226 2940029 3438339 4584452 5880058 6876678 8820087 10315017 11760116 13753356 17640174 20630034 26460261 35280348 41260068 52920522 67620667 105841044 135241334 202862001 270482668 405724002 608586003 811448004 1217172006 2434344012