Search a number
-
+
2329664 = 2689409
BaseRepresentation
bin1000111000110001000000
311101100200212
420320301000
51044022124
6121533252
725542011
oct10706100
94340625
102329664
111351347
12944228
136374cc
14449008
1531040e
hex238c40

2329664 has 28 divisors (see below), whose sum is σ = 4686300. Its totient is φ = 1148928.

The previous prime is 2329637. The next prime is 2329667. The reversal of 2329664 is 4669232.

It can be written as a sum of positive squares in 2 ways, for example, as 1345600 + 984064 = 1160^2 + 992^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 211 + 311 + 221 + 94 + 62 + 66 + 43 .

It is a self number, because there is not a number n which added to its sum of digits gives 2329664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2329667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5492 + ... + 5900.

22329664 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 2329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343150).

2329664 is an abundant number, since it is smaller than the sum of its proper divisors (2356636).

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

2329664 is an equidigital number, since it uses as much as digits as its factorization.

2329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 2329664 is about 1526.3236878199. The cubic root of 2329664 is about 132.5656776567.

The spelling of 2329664 in words is "two million, three hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 89 178 356 409 712 818 1424 1636 2848 3272 5696 6544 13088 26176 36401 72802 145604 291208 582416 1164832 2329664