Search a number
-
+
204302430 = 232517671993
BaseRepresentation
bin11000010110101…
…10100001011110
3112020102122020200
430023112201132
5404300134210
632134524330
75030353623
oct1413264136
9466378220
10204302430
11a5361492
12585066a6
1333432717
141d1c234a
1512e090c0
hexc2d685e

204302430 has 96 divisors (see below), whose sum is σ = 571113504. Its totient is φ = 50485248.

The previous prime is 204302389. The next prime is 204302471. The reversal of 204302430 is 34203402.

204302430 is a `hidden beast` number, since 204 + 30 + 2 + 430 = 666.

204302430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204302389) and next prime (204302471).

It is a super-3 number, since 3×2043024303 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101514 + ... + 103506.

It is an arithmetic number, because the mean of its divisors is an integer number (5949099).

Almost surely, 2204302430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204302430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285556752).

204302430 is an abundant number, since it is smaller than the sum of its proper divisors (366811074).

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

204302430 is a wasteful number, since it uses less digits than its factorization.

204302430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 204302430 is about 14293.4401037679. The cubic root of 204302430 is about 588.9672923708.

Adding to 204302430 its reverse (34203402), we get a palindrome (238505832).

The spelling of 204302430 in words is "two hundred four million, three hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 67 85 90 102 134 153 170 201 255 306 335 402 510 603 670 765 1005 1139 1206 1530 1993 2010 2278 3015 3417 3986 5695 5979 6030 6834 9965 10251 11390 11958 17085 17937 19930 20502 29895 33881 34170 35874 51255 59790 67762 89685 101643 102510 133531 169405 179370 203286 267062 304929 338810 400593 508215 609858 667655 801186 1016430 1201779 1335310 1524645 2002965 2270027 2403558 3049290 4005930 4540054 6008895 6810081 11350135 12017790 13620162 20430243 22700270 34050405 40860486 68100810 102151215 204302430