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2034213030 = 2325171916961
BaseRepresentation
bin111100100111111…
…1010000010100110
312020202201201200100
41321033322002212
513131224304110
6533504124530
7101260345143
oct17117720246
95222651610
102034213030
119542953a3
12489306746
13265595b65
141542433ca
15bd8bebc0
hex793fa0a6

2034213030 has 96 divisors (see below), whose sum is σ = 5630197248. Its totient is φ = 507801600.

The previous prime is 2034213019. The next prime is 2034213031. The reversal of 2034213030 is 303124302.

2034213030 is a `hidden beast` number, since 20 + 342 + 1 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2034212994 and 2034213012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034213031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 288750 + ... + 295710.

It is an arithmetic number, because the mean of its divisors is an integer number (58647888).

Almost surely, 22034213030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034213030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815098624).

2034213030 is an abundant number, since it is smaller than the sum of its proper divisors (3595984218).

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

2034213030 is a wasteful number, since it uses less digits than its factorization.

2034213030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7182 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2034213030 is about 45102.2508307512. The cubic root of 2034213030 is about 1267.0647549157.

Adding to 2034213030 its reverse (303124302), we get a palindrome (2337337332).

The spelling of 2034213030 in words is "two billion, thirty-four million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 191 255 306 382 510 573 765 955 1146 1530 1719 1910 2865 3247 3438 5730 6494 6961 8595 9741 13922 16235 17190 19482 20883 29223 32470 34805 41766 48705 58446 62649 69610 97410 104415 118337 125298 146115 208830 236674 292230 313245 355011 591685 626490 710022 1065033 1183370 1329551 1775055 2130066 2659102 3550110 3988653 5325165 6647755 7977306 10650330 11965959 13295510 19943265 22602367 23931918 39886530 45204734 59829795 67807101 113011835 119659590 135614202 203421303 226023670 339035505 406842606 678071010 1017106515 2034213030