Search a number
-
+
3336216 = 2331317237
BaseRepresentation
bin1100101110100000011000
320021111102120
430232200120
51323224331
6155301240
740233402
oct14564030
96244376
103336216
111979604
12114a820
138ca6c0
1462bb72
1545d796
hex32e818

3336216 has 96 divisors (see below), whose sum is σ = 9799440. Its totient is φ = 940032.

The previous prime is 3336209. The next prime is 3336227. The reversal of 3336216 is 6126333.

It is a super-2 number, since 2×33362162 = 22260674397312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

Its product of digits (1944) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90150 + ... + 90186.

Almost surely, 23336216 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 3336216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899720).

3336216 is an abundant number, since it is smaller than the sum of its proper divisors (6463224).

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

3336216 is a wasteful number, since it uses less digits than its factorization.

3336216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 3336216 is about 1826.5311385246. The cubic root of 3336216 is about 149.4232071317.

The spelling of 3336216 in words is "three million, three hundred thirty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 37 39 51 52 68 74 78 102 104 111 136 148 156 204 221 222 289 296 312 408 442 444 481 578 629 663 867 884 888 962 1156 1258 1326 1443 1734 1768 1887 1924 2312 2516 2652 2886 3468 3757 3774 3848 5032 5304 5772 6936 7514 7548 8177 10693 11271 11544 15028 15096 16354 21386 22542 24531 30056 32079 32708 42772 45084 49062 64158 65416 85544 90168 98124 128316 139009 196248 256632 278018 417027 556036 834054 1112072 1668108 3336216