Search a number
-
+
2321312 = 25743241
BaseRepresentation
bin1000110110101110100000
311100221020112
420312232200
51043240222
6121430452
725505450
oct10665640
94327215
102321312
111346044
1293b428
13633776
14445d60
1530cbe2
hex236ba0

2321312 has 48 divisors (see below), whose sum is σ = 5366592. Its totient is φ = 967680.

The previous prime is 2321309. The next prime is 2321317. The reversal of 2321312 is 2131232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2321317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9512 + ... + 9752.

It is an arithmetic number, because the mean of its divisors is an integer number (111804).

22321312 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 2321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683296).

2321312 is an abundant number, since it is smaller than the sum of its proper divisors (3045280).

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

2321312 is a wasteful number, since it uses less digits than its factorization.

2321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 293 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 2321312 is about 1523.5852453998. The cubic root of 2321312 is about 132.4070690481.

Adding to 2321312 its reverse (2131232), we get a palindrome (4452544).

The spelling of 2321312 in words is "two million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 241 301 344 482 602 688 964 1204 1376 1687 1928 2408 3374 3856 4816 6748 7712 9632 10363 13496 20726 26992 41452 53984 72541 82904 145082 165808 290164 331616 580328 1160656 2321312