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2034132324 = 22371910112619
BaseRepresentation
bin111100100111110…
…0110010101100100
312020202120121222020
41321033212111210
513131214213244
6533502303140
7101256560640
oct17117462544
95222517866
102034132324
1195423a7a4
12489287ab0
132655681c3
14154221c20
15bd8a5d19
hex793e6564

2034132324 has 96 divisors (see below), whose sum is σ = 5766835200. Its totient is φ = 545097600.

The previous prime is 2034132319. The next prime is 2034132383. The reversal of 2034132324 is 4232314302.

It is a super-3 number, since 3×20341323243 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2034132294 and 2034132303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154887 + ... + 167505.

It is an arithmetic number, because the mean of its divisors is an integer number (60071200).

Almost surely, 22034132324 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 2034132324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883417600).

2034132324 is an abundant number, since it is smaller than the sum of its proper divisors (3732702876).

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

2034132324 is a wasteful number, since it uses less digits than its factorization.

2034132324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12753 (or 12751 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2034132324 is about 45101.3561215181. The cubic root of 2034132324 is about 1267.0479980537.

Adding to 2034132324 its reverse (4232314302), we get a palindrome (6266446626).

The spelling of 2034132324 in words is "two billion, thirty-four million, one hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 101 114 133 202 228 266 303 399 404 532 606 707 798 1212 1414 1596 1919 2121 2828 3838 4242 5757 7676 8484 11514 12619 13433 23028 25238 26866 37857 40299 50476 53732 75714 80598 88333 151428 161196 176666 239761 264999 353332 479522 529998 719283 959044 1059996 1274519 1438566 1678327 2549038 2877132 3356654 3823557 5034981 5098076 6713308 7647114 8921633 10069962 15294228 17843266 20139924 24215861 26764899 35686532 48431722 53529798 72647583 96863444 107059596 145295166 169511027 290590332 339022054 508533081 678044108 1017066162 2034132324