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1323216396 = 2232731633089
BaseRepresentation
bin100111011011110…
…1010111000001100
310102012212100122200
41032313222320030
510202220411041
6335145041500
744535103515
oct11667527014
93365770580
101323216396
11619a15077
1230b186290
131811a63a8
14c7a45a0c
157b2791b6
hex4edeae0c

1323216396 has 72 divisors (see below), whose sum is σ = 3412521840. Its totient is φ = 432221184.

The previous prime is 1323216353. The next prime is 1323216397. The reversal of 1323216396 is 6936123231.

It is a happy number.

1323216396 is a `hidden beast` number, since 13 + 2 + 3 + 2 + 1 + 639 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1323216396.

It is not an unprimeable number, because it can be changed into a prime (1323216397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426820 + ... + 429908.

Almost surely, 21323216396 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 1323216396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706260920).

1323216396 is an abundant number, since it is smaller than the sum of its proper divisors (2089305444).

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

1323216396 is a wasteful number, since it uses less digits than its factorization.

1323216396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3330 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 1323216396 is about 36376.0415108626. The cubic root of 1323216396 is about 1097.8515630408.

The spelling of 1323216396 in words is "one billion, three hundred twenty-three million, two hundred sixteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 163 219 292 326 438 489 652 657 876 978 1314 1467 1956 2628 2934 3089 5868 6178 9267 11899 12356 18534 23798 27801 35697 37068 47596 55602 71394 107091 111204 142788 214182 225497 428364 450994 503507 676491 901988 1007014 1352982 1510521 2014028 2029473 2705964 3021042 4058946 4531563 6042084 8117892 9063126 18126252 36756011 73512022 110268033 147024044 220536066 330804099 441072132 661608198 1323216396