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3968412 = 2237217397
BaseRepresentation
bin1111001000110110011100
321110121122020
433020312130
52003442122
6221020140
745505500
oct17106634
97417566
103968412
112270588
1213b4650
13a8c396
14754300
15535c5c
hex3c8d9c

3968412 has 72 divisors (see below), whose sum is σ = 11433744. Its totient is φ = 1064448.

The previous prime is 3968411. The next prime is 3968417. The reversal of 3968412 is 2148693.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968411) 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, 9798 + ... + 10194.

It is an arithmetic number, because the mean of its divisors is an integer number (158802).

Almost surely, 23968412 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 3968412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716872).

3968412 is an abundant number, since it is smaller than the sum of its proper divisors (7465332).

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

3968412 is a wasteful number, since it uses less digits than its factorization.

3968412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 3968412 is about 1992.0873474825. The cubic root of 3968412 is about 158.3211435368.

The spelling of 3968412 in words is "three million, nine hundred sixty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 397 476 588 714 794 833 1191 1428 1588 1666 2382 2499 2779 3332 4764 4998 5558 6749 8337 9996 11116 13498 16674 19453 20247 26996 33348 38906 40494 47243 58359 77812 80988 94486 116718 141729 188972 233436 283458 330701 566916 661402 992103 1322804 1984206 3968412