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204034020 = 223561107521
BaseRepresentation
bin11000010100101…
…00111111100100
3112012221000001120
430022110333210
5404213042040
632125053540
75025155241
oct1412247744
9465830046
10204034020
11a5198863
12583b72b0
133336a4b8
141d1525c8
1512da47d0
hexc294fe4

204034020 has 96 divisors (see below), whose sum is σ = 587212416. Its totient is φ = 52915200.

The previous prime is 204033997. The next prime is 204034037. The reversal of 204034020 is 20430402.

It is a happy number.

204034020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391360 + ... + 391880.

It is an arithmetic number, because the mean of its divisors is an integer number (6116796).

Almost surely, 2204034020 is an apocalyptic number.

204034020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293606208).

204034020 is an abundant number, since it is smaller than the sum of its proper divisors (383178396).

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

204034020 is a wasteful number, since it uses less digits than its factorization.

204034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 204034020 is about 14284.0477456497. The cubic root of 204034020 is about 588.7092533590.

Adding to 204034020 its reverse (20430402), we get a palindrome (224464422).

The spelling of 204034020 in words is "two hundred four million, thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 107 122 183 214 244 305 321 366 428 521 535 610 642 732 915 1042 1070 1220 1284 1563 1605 1830 2084 2140 2605 3126 3210 3660 5210 6252 6420 6527 7815 10420 13054 15630 19581 26108 31260 31781 32635 39162 55747 63562 65270 78324 95343 97905 111494 127124 130540 158905 167241 190686 195810 222988 278735 317810 334482 381372 391620 476715 557470 635620 668964 836205 953430 1114940 1672410 1906860 3344820 3400567 6801134 10201701 13602268 17002835 20403402 34005670 40806804 51008505 68011340 102017010 204034020