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204144340 = 22529253229
BaseRepresentation
bin11000010101011…
…11111011010100
3112020010121101111
430022233323110
5404230104330
632131304404
75026125001
oct1412577324
9466117344
10204144340
11a5263734
125844b104
13333a878a
141d1808a8
1512dc732a
hexc2afed4

204144340 has 72 divisors (see below), whose sum is σ = 454348440. Its totient is φ = 77016576.

The previous prime is 204144329. The next prime is 204144433. The reversal of 204144340 is 43441402.

It can be written as a sum of positive squares in 12 ways, for example, as 853776 + 203290564 = 924^2 + 14258^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891346 + ... + 891574.

It is an arithmetic number, because the mean of its divisors is an integer number (6310395).

Almost surely, 2204144340 is an apocalyptic number.

204144340 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 204144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227174220).

204144340 is an abundant number, since it is smaller than the sum of its proper divisors (250204100).

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

204144340 is a wasteful number, since it uses less digits than its factorization.

204144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 204144340 is about 14287.9088742895. The cubic root of 204144340 is about 588.8153381236.

Adding to 204144340 its reverse (43441402), we get a palindrome (247585742).

The spelling of 204144340 in words is "two hundred four million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 229 265 290 458 530 580 841 916 1060 1145 1537 1682 2290 3074 3364 4205 4580 6148 6641 7685 8410 12137 13282 15370 16820 24274 26564 30740 33205 44573 48548 60685 66410 89146 121370 132820 178292 192589 222865 242740 351973 385178 445730 703946 770356 891460 962945 1407892 1759865 1925890 3519730 3851780 7039460 10207217 20414434 40828868 51036085 102072170 204144340