Search a number
-
+
235304004 = 2231317831069
BaseRepresentation
bin11100000011001…
…11010001000100
3121101202200102010
432001213101010
5440214212004
635203214220
75555023335
oct1601472104
9541680363
10235304004
11110906421
1266977370
1339998550
142337228c
15159cea89
hexe067444

235304004 has 96 divisors (see below), whose sum is σ = 634193280. Its totient is φ = 67258368.

The previous prime is 235303973. The next prime is 235304009. The reversal of 235304004 is 400403532.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (235304009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219582 + ... + 220650.

It is an arithmetic number, because the mean of its divisors is an integer number (6606180).

Almost surely, 2235304004 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 235304004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317096640).

235304004 is an abundant number, since it is smaller than the sum of its proper divisors (398889276).

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

235304004 is a wasteful number, since it uses less digits than its factorization.

235304004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 235304004 is about 15339.6220292418. The cubic root of 235304004 is about 617.3665653867.

Adding to 235304004 its reverse (400403532), we get a palindrome (635707536).

The spelling of 235304004 in words is "two hundred thirty-five million, three hundred four thousand, four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 83 102 156 166 204 221 249 332 442 498 663 884 996 1069 1079 1326 1411 2138 2158 2652 2822 3207 3237 4233 4276 4316 5644 6414 6474 8466 12828 12948 13897 16932 18173 18343 27794 36346 36686 41691 54519 55029 55588 72692 73372 83382 88727 109038 110058 166764 177454 218076 220116 236249 266181 354908 472498 532362 708747 944996 1064724 1153451 1417494 1508359 2306902 2834988 3016718 3460353 4525077 4613804 6033436 6920706 9050154 13841412 18100308 19608667 39217334 58826001 78434668 117652002 235304004