Search a number
-
+
3486736 = 241121801
BaseRepresentation
bin1101010011010000010000
320120010220101
431103100100
51343033421
6202422144
741431261
oct15232020
96503811
103486736
111a71700
121201954
13951076
1466a968
1548d191
hex353410

3486736 has 30 divisors (see below), whose sum is σ = 7429646. Its totient is φ = 1584000.

The previous prime is 3486727. The next prime is 3486737. The reversal of 3486736 is 6376843.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2371600 + 1115136 = 1540^2 + 1056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3486695 and 3486704.

It is not an unprimeable number, because it can be changed into a prime (3486737) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1036 + ... + 2836.

Almost surely, 23486736 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 3486736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714823).

3486736 is an abundant number, since it is smaller than the sum of its proper divisors (3942910).

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

3486736 is a wasteful number, since it uses less digits than its factorization.

3486736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1814 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 3486736 is about 1867.2803753052. The cubic root of 3486736 is about 151.6374090540.

The spelling of 3486736 in words is "three million, four hundred eighty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1801 1936 3602 7204 14408 19811 28816 39622 79244 158488 217921 316976 435842 871684 1743368 3486736