Search a number
-
+
3136144 = 2411103173
BaseRepresentation
bin1011111101101010010000
312220022222111
423331222100
51300324034
6151115104
735441164
oct13755220
95808874
103136144
111852260
121072a94
1385a60b
145b8ca4
1541e364
hex2fda90

3136144 has 40 divisors (see below), whose sum is σ = 6731712. Its totient is φ = 1403520.

The previous prime is 3136129. The next prime is 3136163. The reversal of 3136144 is 4416313.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18042 + ... + 18214.

Almost surely, 23136144 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 3136144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365856).

3136144 is an abundant number, since it is smaller than the sum of its proper divisors (3595568).

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

3136144 is a wasteful number, since it uses less digits than its factorization.

3136144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 3136144 is about 1770.9161470832. The cubic root of 3136144 is about 146.3744687579.

It can be divided in two parts, 3136 and 144, that multiplied together give a square (451584 = 6722).

The spelling of 3136144 in words is "three million, one hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 103 173 176 206 346 412 692 824 1133 1384 1648 1903 2266 2768 3806 4532 7612 9064 15224 17819 18128 30448 35638 71276 142552 196009 285104 392018 784036 1568072 3136144