Search a number
-
+
3235968 = 2732532
BaseRepresentation
bin1100010110000010000000
320002101220200
430112002000
51312022333
6153205200
736335211
oct14260200
96071820
103235968
11191025a
121100800
13893b98
14603408
1543dc13
hex316080

3235968 has 72 divisors (see below), whose sum is σ = 9490845. Its totient is φ = 1058304.

The previous prime is 3235963. The next prime is 3235979. The reversal of 3235968 is 8695323.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 166464 = 1752^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1272.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3235961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61030 + ... + 61082.

Almost surely, 23235968 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 3235968

3235968 is an abundant number, since it is smaller than the sum of its proper divisors (6254877).

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

3235968 is an equidigital number, since it uses as much as digits as its factorization.

3235968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 58 counting only the distinct ones).

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

The square root of 3235968 is about 1798.8796513386. The cubic root of 3235968 is about 147.9113177021.

The spelling of 3235968 in words is "three million, two hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1152 1272 1696 1908 2544 2809 3392 3816 5088 5618 6784 7632 8427 10176 11236 15264 16854 20352 22472 25281 30528 33708 44944 50562 61056 67416 89888 101124 134832 179776 202248 269664 359552 404496 539328 808992 1078656 1617984 3235968