Search a number
-
+
3295368 = 2332371237
BaseRepresentation
bin1100100100100010001000
320012102101200
430210202020
51320422433
6154344200
740003326
oct14444210
96172350
103295368
11195094a
12112b060
138b4c2b
1461ad16
15451613
hex324888

3295368 has 48 divisors (see below), whose sum is σ = 9173580. Its totient is φ = 1067904.

The previous prime is 3295367. The next prime is 3295441. The reversal of 3295368 is 8635923.

3295368 is a `hidden beast` number, since 3 + 295 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2883204 + 412164 = 1698^2 + 642^2 .

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 38 + 219 + 9 + 59 + 312 + 67 + 8 .

It is not an unprimeable number, because it can be changed into a prime (3295361) 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 11 ways as a sum of consecutive naturals, for example, 2046 + ... + 3282.

Almost surely, 23295368 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 3295368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586790).

3295368 is an abundant number, since it is smaller than the sum of its proper divisors (5878212).

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

3295368 is a wasteful number, since it uses less digits than its factorization.

3295368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1279 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3295368 is about 1815.3148487246. The cubic root of 3295368 is about 148.8108646247.

It can be divided in two parts, 3295 and 368, that added together give a palindrome (3663).

The spelling of 3295368 in words is "three million, two hundred ninety-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1237 1332 2474 2664 3711 4948 7422 9896 11133 14844 22266 29688 44532 45769 89064 91538 137307 183076 274614 366152 411921 549228 823842 1098456 1647684 3295368