Search a number
-
+
3366936 = 2332101463
BaseRepresentation
bin1100110110000000011000
320100001120100
430312000120
51330220221
6200055400
740422066
oct14660030
96301510
103366936
11199a6a1
121164560
1390b691
14639036
15467926
hex336018

3366936 has 48 divisors (see below), whose sum is σ = 9228960. Its totient is φ = 1108800.

The previous prime is 3366917. The next prime is 3366973. The reversal of 3366936 is 6396633.

It is a super-2 number, since 2×33669362 = 22672516056192, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3366936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7041 + ... + 7503.

It is an arithmetic number, because the mean of its divisors is an integer number (192270).

Almost surely, 23366936 is an apocalyptic number.

3366936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614480).

3366936 is an abundant number, since it is smaller than the sum of its proper divisors (5862024).

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

3366936 is a wasteful number, since it uses less digits than its factorization.

3366936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 569 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

The square root of 3366936 is about 1834.9212517163. The cubic root of 3366936 is about 149.8804380583.

The spelling of 3366936 in words is "three million, three hundred sixty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 463 606 808 909 926 1212 1389 1818 1852 2424 2778 3636 3704 4167 5556 7272 8334 11112 16668 33336 46763 93526 140289 187052 280578 374104 420867 561156 841734 1122312 1683468 3366936