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2034225396 = 2232724992311
BaseRepresentation
bin111100100111111…
…1101000011110100
312020202202100122100
41321033331003310
513131230203041
6533504302100
7101260426200
oct17117750364
95222670570
102034225396
119542a3715
12489311930
1326559b688
14154247b00
15bd8c36b6
hex793fd0f4

2034225396 has 108 divisors (see below), whose sum is σ = 5996172000. Its totient is φ = 579791520.

The previous prime is 2034225371. The next prime is 2034225419. The reversal of 2034225396 is 6935224302.

It is a happy number.

2034225396 is a `hidden beast` number, since 203 + 42 + 25 + 396 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2034225396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 879081 + ... + 881391.

Almost surely, 22034225396 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 2034225396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998086000).

2034225396 is an abundant number, since it is smaller than the sum of its proper divisors (3961946604).

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

2034225396 is a wasteful number, since it uses less digits than its factorization.

2034225396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2034225396 is about 45102.3879190448. The cubic root of 2034225396 is about 1267.0673224099.

Adding to 2034225396 its reverse (6935224302), we get a palindrome (8969449698).

The spelling of 2034225396 in words is "two billion, thirty-four million, two hundred twenty-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 499 588 882 998 1497 1764 1996 2311 2994 3493 4491 4622 5988 6933 6986 8982 9244 10479 13866 13972 16177 17964 20799 20958 24451 27732 31437 32354 41598 41916 48531 48902 62874 64708 73353 83196 97062 97804 113239 125748 145593 146706 194124 220059 226478 291186 293412 339717 440118 452956 582372 679434 880236 1019151 1153189 1358868 2038302 2306378 3459567 4076604 4612756 6919134 8072323 10378701 13838268 16144646 20757402 24216969 32289292 41514804 48433938 56506261 72650907 96867876 113012522 145301814 169518783 226025044 290603628 339037566 508556349 678075132 1017112698 2034225396