Search a number
-
+
1224304312 = 237116013307
BaseRepresentation
bin100100011111001…
…0110011010111000
310011022202002210011
41020332112122320
510001410214222
6321253031304
742224262220
oct11076263270
93138662704
101224304312
115790a6a50
122a2025534
13166853b2a
14b8859080
157273bc77
hex48f966b8

1224304312 has 64 divisors (see below), whose sum is σ = 2867639040. Its totient is φ = 476064000.

The previous prime is 1224304307. The next prime is 1224304327. The reversal of 1224304312 is 2134034221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368563 + ... + 371869.

It is an arithmetic number, because the mean of its divisors is an integer number (44806860).

Almost surely, 21224304312 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 1224304312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433819520).

1224304312 is an abundant number, since it is smaller than the sum of its proper divisors (1643334728).

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

1224304312 is a wasteful number, since it uses less digits than its factorization.

1224304312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1224304312 is about 34990.0601885736. The cubic root of 1224304312 is about 1069.7848905222.

Adding to 1224304312 its reverse (2134034221), we get a palindrome (3358338533).

The spelling of 1224304312 in words is "one billion, two hundred twenty-four million, three hundred four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 601 616 1202 2404 3307 4207 4808 6611 6614 8414 13222 13228 16828 23149 26444 26456 33656 36377 46277 46298 52888 72754 92554 92596 145508 185108 185192 254639 291016 370216 509278 1018556 1987507 2037112 3975014 7950028 13912549 15900056 21862577 27825098 43725154 55650196 87450308 111300392 153038039 174900616 306076078 612152156 1224304312