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3168972 = 22321941113
BaseRepresentation
bin1100000101101011001100
312222000000100
430011223030
51302401342
6151531100
735635662
oct14055314
95860010
103168972
111874994
121089a90
1386c541
145c6c32
15428e4c
hex305acc

3168972 has 72 divisors (see below), whose sum is σ = 8714160. Its totient is φ = 967680.

The previous prime is 3168961. The next prime is 3168973. The reversal of 3168972 is 2798613.

3168972 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3168973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27988 + ... + 28100.

It is an arithmetic number, because the mean of its divisors is an integer number (121030).

Almost surely, 23168972 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 3168972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357080).

3168972 is an abundant number, since it is smaller than the sum of its proper divisors (5545188).

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

3168972 is a wasteful number, since it uses less digits than its factorization.

3168972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 178 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3168972 is about 1780.1606669062. The cubic root of 3168972 is about 146.8834283378.

The spelling of 3168972 in words is "three million, one hundred sixty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 113 114 123 164 171 226 228 246 339 342 369 452 492 678 684 738 779 1017 1356 1476 1558 2034 2147 2337 3116 4068 4294 4633 4674 6441 7011 8588 9266 9348 12882 13899 14022 18532 19323 25764 27798 28044 38646 41697 55596 77292 83394 88027 166788 176054 264081 352108 528162 792243 1056324 1584486 3168972