Search a number
-
+
3105032 = 2372892
BaseRepresentation
bin1011110110000100001000
312211202022012
423312010020
51243330112
6150315052
735251400
oct13660410
95752265
103105032
111830947
121058a88
138493c8
145ab800
15415022
hex2f6108

3105032 has 36 divisors (see below), whose sum is σ = 6849405. Its totient is φ = 1315776.

The previous prime is 3105007. The next prime is 3105041. The reversal of 3105032 is 2305013.

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 2775556 + 329476 = 1666^2 + 574^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1246.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3104998 and 3105016.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34844 + ... + 34932.

Almost surely, 23105032 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 3105032

3105032 is an abundant number, since it is smaller than the sum of its proper divisors (3744373).

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

3105032 is an equidigital number, since it uses as much as digits as its factorization.

3105032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3105032 is about 1762.1100987169. The cubic root of 3105032 is about 145.8888251041. Note that the first 4 decimals are identical.

The spelling of 3105032 in words is "three million, one hundred five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 356 392 623 712 1246 2492 4361 4984 7921 8722 15842 17444 31684 34888 55447 63368 110894 221788 388129 443576 776258 1552516 3105032