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396242406 = 232727711353
BaseRepresentation
bin10111100111100…
…010110111100110
31000121121012101200
4113213202313212
51302414224111
6103152503330
712551001450
oct2747426746
91017535350
10396242406
1119373986a
12b084ab46
1364127181
143a8a72d0
1524bc0256
hex179e2de6

396242406 has 48 divisors (see below), whose sum is σ = 984800544. Its totient is φ = 112793472.

The previous prime is 396242393. The next prime is 396242411. The reversal of 396242406 is 604242693.

396242406 is a `hidden beast` number, since 3 + 9 + 6 + 242 + 406 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29226 + ... + 40578.

It is an arithmetic number, because the mean of its divisors is an integer number (20516678).

Almost surely, 2396242406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396242406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492400272).

396242406 is an abundant number, since it is smaller than the sum of its proper divisors (588558138).

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

396242406 is a wasteful number, since it uses less digits than its factorization.

396242406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11645 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 396242406 is about 19905.8384902520. The cubic root of 396242406 is about 734.4918547980.

The spelling of 396242406 in words is "three hundred ninety-six million, two hundred forty-two thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 277 554 831 1662 1939 2493 3878 4986 5817 11353 11634 17451 22706 34059 34902 68118 79471 102177 158942 204354 238413 476826 715239 1430478 3144781 6289562 9434343 18868686 22013467 28303029 44026934 56606058 66040401 132080802 198121203 396242406