Search a number
-
+
3221370 = 23454197
BaseRepresentation
bin1100010010011101111010
320001122220000
430102131322
51311040440
6153013430
736244515
oct14223572
96048800
103221370
111900299
1210b4276
1388a349
145dbd7c
15439730
hex31277a

3221370 has 80 divisors (see below), whose sum is σ = 8964648. Its totient is φ = 829440.

The previous prime is 3221359. The next prime is 3221371. The reversal of 3221370 is 731223.

It can be written as a sum of positive squares in 4 ways, for example, as 1656369 + 1565001 = 1287^2 + 1251^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3221371) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33162 + ... + 33258.

Almost surely, 23221370 is an apocalyptic number.

3221370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482324).

3221370 is an abundant number, since it is smaller than the sum of its proper divisors (5743278).

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

3221370 is a wasteful number, since it uses less digits than its factorization.

3221370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3221370 is about 1794.8175394730. The cubic root of 3221370 is about 147.6885647339.

Adding to 3221370 its reverse (731223), we get a palindrome (3952593).

The spelling of 3221370 in words is "three million, two hundred twenty-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 97 123 135 162 194 205 246 270 291 369 405 410 485 582 615 738 810 873 970 1107 1230 1455 1746 1845 2214 2619 2910 3321 3690 3977 4365 5238 5535 6642 7857 7954 8730 11070 11931 13095 15714 16605 19885 23862 26190 33210 35793 39285 39770 59655 71586 78570 107379 119310 178965 214758 322137 357930 536895 644274 1073790 1610685 3221370