[go: up one dir, main page]

Search a number
-
+
3217104 = 243311677
BaseRepresentation
bin1100010001011011010000
320001110001000
430101123100
51310421404
6152542000
736226212
oct14213320
96043030
103217104
1118a8070
1210b1900
13888417
145da5b2
15438339
hex3116d0

3217104 has 80 divisors (see below), whose sum is σ = 10088640. Its totient is φ = 973440.

The previous prime is 3217091. The next prime is 3217121. The reversal of 3217104 is 4017123.

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

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, 4414 + ... + 5090.

It is an arithmetic number, because the mean of its divisors is an integer number (126108).

Almost surely, 23217104 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 3217104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044320).

3217104 is an abundant number, since it is smaller than the sum of its proper divisors (6871536).

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

3217104 is a wasteful number, since it uses less digits than its factorization.

3217104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3217104 is about 1793.6287241233. The cubic root of 3217104 is about 147.6233422003.

It can be divided in two parts, 3217 and 104, that added together give a triangular number (3321 = T81).

The spelling of 3217104 in words is "three million, two hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 677 792 1188 1354 1584 2031 2376 2708 4062 4752 5416 6093 7447 8124 10832 12186 14894 16248 18279 22341 24372 29788 32496 36558 44682 48744 59576 67023 73116 89364 97488 119152 134046 146232 178728 201069 268092 292464 357456 402138 536184 804276 1072368 1608552 3217104