Search a number
-
+
3172880 = 245172333
BaseRepresentation
bin1100000110101000010000
312222012101002
430012220100
51303013010
6152001132
735653244
oct14065020
95865332
103172880
111877917
1210901a8
13871259
145c8424
1542a1a5
hex306a10

3172880 has 40 divisors (see below), whose sum is σ = 7814232. Its totient is φ = 1193984.

The previous prime is 3172879. The next prime is 3172889. The reversal of 3172880 is 882713.

It can be written as a sum of positive squares in 4 ways, for example, as 456976 + 2715904 = 676^2 + 1648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3172889) by changing a digit.

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, 194 + ... + 2526.

Almost surely, 23172880 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 3172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907116).

3172880 is an abundant number, since it is smaller than the sum of its proper divisors (4641352).

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

3172880 is a wasteful number, since it uses less digits than its factorization.

3172880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 3172880 is about 1781.2579824383. The cubic root of 3172880 is about 146.9437827827.

The spelling of 3172880 in words is "three million, one hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2333 4666 9332 11665 18664 23330 37328 39661 46660 79322 93320 158644 186640 198305 317288 396610 634576 793220 1586440 3172880