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3940668 = 22321747137
BaseRepresentation
bin1111000010000100111100
321102012120200
433002010330
52002100133
6220243500
745331554
oct17020474
97365520
103940668
112251756
1213a0590
13a7c874
14748164
1552c913
hex3c213c

3940668 has 72 divisors (see below), whose sum is σ = 10850112. Its totient is φ = 1201152.

The previous prime is 3940667. The next prime is 3940679. The reversal of 3940668 is 8660493.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940663) 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, 28696 + ... + 28832.

It is an arithmetic number, because the mean of its divisors is an integer number (150696).

Almost surely, 23940668 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 3940668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425056).

3940668 is an abundant number, since it is smaller than the sum of its proper divisors (6909444).

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

3940668 is a wasteful number, since it uses less digits than its factorization.

3940668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3940668 is about 1985.1115837655. Note that the first 3 decimals coincide. The cubic root of 3940668 is about 157.9513282759.

The spelling of 3940668 in words is "three million, nine hundred forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 137 141 153 188 204 274 282 306 411 423 548 564 612 799 822 846 1233 1598 1644 1692 2329 2397 2466 3196 4658 4794 4932 6439 6987 7191 9316 9588 12878 13974 14382 19317 20961 25756 27948 28764 38634 41922 57951 77268 83844 109463 115902 218926 231804 328389 437852 656778 985167 1313556 1970334 3940668