Search a number
-
+
3221288 = 237234161
BaseRepresentation
bin1100010010011100101000
320001122202222
430102130220
51311040123
6153013212
736244340
oct14223450
96048688
103221288
111900224
1210b4208
1388a2b5
145dbd20
154396c8
hex312728

3221288 has 64 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 1267200.

The previous prime is 3221269. The next prime is 3221297. The reversal of 3221288 is 8821223.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52778 + ... + 52838.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 23221288 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 3221288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

3221288 is an abundant number, since it is smaller than the sum of its proper divisors (4278232).

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

3221288 is a wasteful number, since it uses less digits than its factorization.

3221288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 3221288 is about 1794.7946957800. The cubic root of 3221288 is about 147.6873115854.

It can be divided in two parts, 322 and 1288, that multiplied together give a square (414736 = 6442).

The spelling of 3221288 in words is "three million, two hundred twenty-one thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 23 28 41 46 56 61 82 92 122 161 164 184 244 287 322 328 427 488 574 644 854 943 1148 1288 1403 1708 1886 2296 2501 2806 3416 3772 5002 5612 6601 7544 9821 10004 11224 13202 17507 19642 20008 26404 35014 39284 52808 57523 70028 78568 115046 140056 230092 402661 460184 805322 1610644 3221288