Search a number
-
+
3212412 = 2237167229
BaseRepresentation
bin1100010000010001111100
320001012121020
430100101330
51310244122
6152504140
736206430
oct14202174
96035536
103212412
1118a4595
1210ab050
13886248
145d89c0
15436c5c
hex31047c

3212412 has 48 divisors (see below), whose sum is σ = 8655360. Its totient is φ = 908352.

The previous prime is 3212389. The next prime is 3212413. The reversal of 3212412 is 2142123.

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

It is a junction number, because it is equal to n+sod(n) for n = 3212391 and 3212400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13914 + ... + 14142.

It is an arithmetic number, because the mean of its divisors is an integer number (180320).

Almost surely, 23212412 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 3212412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327680).

3212412 is an abundant number, since it is smaller than the sum of its proper divisors (5442948).

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

3212412 is a wasteful number, since it uses less digits than its factorization.

3212412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 3212412 is about 1792.3202838779. The cubic root of 3212412 is about 147.5515399700.

Adding to 3212412 its reverse (2142123), we get a palindrome (5354535).

The spelling of 3212412 in words is "three million, two hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 229 334 458 501 668 687 916 1002 1169 1374 1603 2004 2338 2748 3206 3507 4676 4809 6412 7014 9618 14028 19236 38243 76486 114729 152972 229458 267701 458916 535402 803103 1070804 1606206 3212412