Search a number
-
+
3214890 = 238572
BaseRepresentation
bin1100010000111000101010
320001100000000
430100320222
51310334030
6152523430
736216600
oct14207052
96040000
103214890
1118a6438
1210b0576
13887403
145d9870
15437860
hex310e2a

3214890 has 108 divisors (see below), whose sum is σ = 10096866. Its totient is φ = 734832.

The previous prime is 3214879. The next prime is 3214891. The reversal of 3214890 is 984123.

It can be written as a sum of positive squares in only one way, i.e., 2893401 + 321489 = 1701^2 + 567^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3214891) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 459267 + ... + 459273.

Almost surely, 23214890 is an apocalyptic number.

3214890 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 3214890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048433).

3214890 is an abundant number, since it is smaller than the sum of its proper divisors (6881976).

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

3214890 is an frugal number, since it uses more digits than its factorization.

3214890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3214890 is about 1793.0114333155. The cubic root of 3214890 is about 147.5894698020.

The spelling of 3214890 in words is "three million, two hundred fourteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 243 245 270 294 315 378 405 441 486 490 567 630 729 735 810 882 945 1134 1215 1323 1458 1470 1701 1890 2187 2205 2430 2646 2835 3402 3645 3969 4374 4410 5103 5670 6561 6615 7290 7938 8505 10206 10935 11907 13122 13230 15309 17010 19845 21870 23814 25515 30618 32805 35721 39690 45927 51030 59535 65610 71442 76545 91854 107163 119070 153090 178605 214326 229635 321489 357210 459270 535815 642978 1071630 1607445 3214890