Search a number
-
+
3214112 = 251123397
BaseRepresentation
bin1100010000101100100000
320001021221012
430100230200
51310322422
6152520052
736214406
oct14205440
96037835
103214112
1118a58a0
1210b0028
13886c55
145d9476
154374e2
hex310b20

3214112 has 48 divisors (see below), whose sum is σ = 7221312. Its totient is φ = 1393920.

The previous prime is 3214109. The next prime is 3214129. The reversal of 3214112 is 2114123.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7898 + ... + 8294.

It is an arithmetic number, because the mean of its divisors is an integer number (150444).

Almost surely, 23214112 is an apocalyptic number.

3214112 is a gapful number since it is divisible by the number (32) 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 3214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610656).

3214112 is an abundant number, since it is smaller than the sum of its proper divisors (4007200).

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

3214112 is a wasteful number, since it uses less digits than its factorization.

3214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 3214112 is about 1792.7944667474. The cubic root of 3214112 is about 147.5775633427.

Adding to 3214112 its reverse (2114123), we get a palindrome (5328235).

It can be divided in two parts, 32 and 14112, that multiplied together give a square (451584 = 6722).

The spelling of 3214112 in words is "three million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 397 506 736 794 1012 1588 2024 3176 4048 4367 6352 8096 8734 9131 12704 17468 18262 34936 36524 69872 73048 100441 139744 146096 200882 292192 401764 803528 1607056 3214112