Search a number
-
+
321096 = 23317787
BaseRepresentation
bin1001110011001001000
3121022110110
41032121020
540233341
610514320
72505066
oct1163110
9538413
10321096
111aa276
121359a0
13b31c9
1485036
1565216
hex4e648

321096 has 32 divisors (see below), whose sum is σ = 851040. Its totient is φ = 100608.

The previous prime is 321091. The next prime is 321109. The reversal of 321096 is 690123.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321091) by changing a digit.

321096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (26595).

2321096 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 321096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425520).

321096 is an abundant number, since it is smaller than the sum of its proper divisors (529944).

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

321096 is a wasteful number, since it uses less digits than its factorization.

321096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 321096 is about 566.6533331765. The cubic root of 321096 is about 68.4770377864.

It can be divided in two parts, 32 and 1096, that added together give a triangular number (1128 = T47).

The spelling of 321096 in words is "three hundred twenty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 787 1574 2361 3148 4722 6296 9444 13379 18888 26758 40137 53516 80274 107032 160548 321096