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2668356 = 223331797
BaseRepresentation
bin1010001011011101000100
312000120022000
422023131010
51140341411
6133105300
731452315
oct12133504
95016260
102668356
111562859
12a88230
13725712
144d660c
1537a956
hex28b744

2668356 has 48 divisors (see below), whose sum is σ = 7150080. Its totient is φ = 859680.

The previous prime is 2668343. The next prime is 2668357. The reversal of 2668356 is 6538662.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 219 + 6 + 6 + 87 + 35 + 5 + 66 .

It is a self number, because there is not a number n which added to its sum of digits gives 2668356.

It is not an unprimeable number, because it can be changed into a prime (2668357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2950 + ... + 3746.

It is an arithmetic number, because the mean of its divisors is an integer number (148960).

22668356 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 2668356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575040).

2668356 is an abundant number, since it is smaller than the sum of its proper divisors (4481724).

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

2668356 is a wasteful number, since it uses less digits than its factorization.

2668356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2668356 is about 1633.5103305458. The cubic root of 2668356 is about 138.7015316465.

The spelling of 2668356 in words is "two million, six hundred sixty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 797 837 1116 1594 1674 2391 3188 3348 4782 7173 9564 14346 21519 24707 28692 43038 49414 74121 86076 98828 148242 222363 296484 444726 667089 889452 1334178 2668356