Search a number
-
+
505234314 = 23313739859
BaseRepresentation
bin11110000111010…
…100001110001010
31022012200120012000
4132013110032022
52013314444224
6122044531430
715343264224
oct3607241612
91265616160
10505234314
1123a212022
12121250b76
1380898720
144b159414
152e54e0c9
hex1e1d438a

505234314 has 64 divisors (see below), whose sum is σ = 1225795200. Its totient is φ = 153311616.

The previous prime is 505234291. The next prime is 505234361. The reversal of 505234314 is 413432505.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 46317 + ... + 56175.

It is an arithmetic number, because the mean of its divisors is an integer number (19153050).

Almost surely, 2505234314 is an apocalyptic number.

505234314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505234314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612897600).

505234314 is an abundant number, since it is smaller than the sum of its proper divisors (720560886).

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

505234314 is a wasteful number, since it uses less digits than its factorization.

505234314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9956 (or 9950 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 505234314 is about 22477.4178677178. The cubic root of 505234314 is about 796.4605688361.

Adding to 505234314 its reverse (413432505), we get a palindrome (918666819).

The spelling of 505234314 in words is "five hundred five million, two hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 117 146 219 234 351 438 657 702 949 1314 1898 1971 2847 3942 5694 8541 9859 17082 19718 25623 29577 51246 59154 88731 128167 177462 256334 266193 384501 532386 719707 769002 1153503 1439414 2159121 2307006 3460509 4318242 6477363 6921018 9356191 12954726 18712382 19432089 28068573 38864178 56137146 84205719 168411438 252617157 505234314