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204311310 = 23571994889
BaseRepresentation
bin11000010110110…
…00101100001110
3112020110002102120
430023120230032
5404300430220
632135033410
75030421540
oct1413305416
9466402376
10204311310
11a5368125
125850b866
1333436788
141d1c5690
1512e0ba40
hexc2d8b0e

204311310 has 64 divisors (see below), whose sum is σ = 563328000. Its totient is φ = 46455552.

The previous prime is 204311309. The next prime is 204311311. The reversal of 204311310 is 13113402.

It is an interprime number because it is at equal distance from previous prime (204311309) and next prime (204311311).

It is a super-2 number, since 2×2043113102 = 83486222787832200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 204311310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204311311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39346 + ... + 44234.

It is an arithmetic number, because the mean of its divisors is an integer number (8802000).

Almost surely, 2204311310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281664000).

204311310 is an abundant number, since it is smaller than the sum of its proper divisors (359016690).

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

204311310 is a wasteful number, since it uses less digits than its factorization.

204311310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 204311310 is about 14293.7507324005. The cubic root of 204311310 is about 588.9758253967.

Adding to 204311310 its reverse (13113402), we get a palindrome (217424712).

The spelling of 204311310 in words is "two hundred four million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 199 210 398 597 995 1194 1393 1990 2786 2985 4179 4889 5970 6965 8358 9778 13930 14667 20895 24445 29334 34223 41790 48890 68446 73335 102669 146670 171115 205338 342230 513345 972911 1026690 1945822 2918733 4864555 5837466 6810377 9729110 13620754 14593665 20431131 29187330 34051885 40862262 68103770 102155655 204311310