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2034334332 = 2233199711021
BaseRepresentation
bin111100101000001…
…0111101001111100
312020202221220002000
41321100113221330
513131242144312
6533510502300
7101261361612
oct17120275174
95222856060
102034334332
11954368548
12489364990
13265609134
141542756b2
15bd8e5adc
hex79417a7c

2034334332 has 96 divisors (see below), whose sum is σ = 5562950400. Its totient is φ = 641131200.

The previous prime is 2034334319. The next prime is 2034334349. The reversal of 2034334332 is 2334334302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2034334296 and 2034334305.

It is a congruent number.

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, 1991982 + ... + 1993002.

It is an arithmetic number, because the mean of its divisors is an integer number (57947400).

Almost surely, 22034334332 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 2034334332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781475200).

2034334332 is an abundant number, since it is smaller than the sum of its proper divisors (3528616068).

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

2034334332 is a wasteful number, since it uses less digits than its factorization.

2034334332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 2034334332 is about 45103.5955551218. The cubic root of 2034334332 is about 1267.0899398286.

Adding to 2034334332 its reverse (2334334302), we get a palindrome (4368668634).

The spelling of 2034334332 in words is "two billion, thirty-four million, three hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 971 1021 1026 1942 2042 2052 2913 3063 3884 4084 5826 6126 8739 9189 11652 12252 17478 18378 18449 19399 26217 27567 34956 36756 36898 38798 52434 55134 55347 58197 73796 77596 104868 110268 110694 116394 166041 174591 221388 232788 332082 349182 498123 523773 664164 698364 991391 996246 1047546 1982782 1992492 2095092 2974173 3965564 5948346 8922519 11896692 17845038 18836429 26767557 35690076 37672858 53535114 56509287 75345716 107070228 113018574 169527861 226037148 339055722 508583583 678111444 1017167166 2034334332