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3973068 = 22321179127
BaseRepresentation
bin1111001001111111001100
321110212000200
433021333030
52004114233
6221053500
745525201
oct17117714
97425020
103973068
112274030
1213b7290
13a91538
14755ca8
15537313
hex3c9fcc

3973068 has 72 divisors (see below), whose sum is σ = 11182080. Its totient is φ = 1179360.

The previous prime is 3973063. The next prime is 3973093. The reversal of 3973068 is 8603793.

3973068 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 (3973061) 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, 31221 + ... + 31347.

Almost surely, 23973068 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 3973068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591040).

3973068 is an abundant number, since it is smaller than the sum of its proper divisors (7209012).

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

3973068 is a wasteful number, since it uses less digits than its factorization.

3973068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3973068 is about 1993.2556283628. The cubic root of 3973068 is about 158.3830369040.

The spelling of 3973068 in words is "three million, nine hundred seventy-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 127 132 158 198 237 254 316 381 396 474 508 711 762 869 948 1143 1397 1422 1524 1738 2286 2607 2794 2844 3476 4191 4572 5214 5588 7821 8382 10033 10428 12573 15642 16764 20066 25146 30099 31284 40132 50292 60198 90297 110363 120396 180594 220726 331089 361188 441452 662178 993267 1324356 1986534 3973068