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3027168 = 253223457
BaseRepresentation
bin1011100011000011100000
312200210111100
423203003200
51233332133
6144514400
734505364
oct13430340
95623440
103027168
1117883a1
12101ba00
1381cb31
1458b2a4
153ebe13
hex2e30e0

3027168 has 72 divisors (see below), whose sum is σ = 9002448. Its totient is φ = 963072.

The previous prime is 3027163. The next prime is 3027169. The reversal of 3027168 is 8617203.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×30271682 = 18327492200448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3027161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6396 + ... + 6852.

It is an arithmetic number, because the mean of its divisors is an integer number (125034).

Almost surely, 23027168 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 3027168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501224).

3027168 is an abundant number, since it is smaller than the sum of its proper divisors (5975280).

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

3027168 is a wasteful number, since it uses less digits than its factorization.

3027168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3027168 is about 1739.8758576404. The cubic root of 3027168 is about 144.6590164453.

It can be divided in two parts, 3027 and 168, that multiplied together give a triangular number (508536 = T1008).

The spelling of 3027168 in words is "three million, twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 457 552 736 828 914 1104 1371 1656 1828 2208 2742 3312 3656 4113 5484 6624 7312 8226 10511 10968 14624 16452 21022 21936 31533 32904 42044 43872 63066 65808 84088 94599 126132 131616 168176 189198 252264 336352 378396 504528 756792 1009056 1513584 3027168