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3906396 = 22321317491
BaseRepresentation
bin1110111001101101011100
321100110120100
432321231130
52000001041
6215421100
745126624
oct16715534
97313510
103906396
112228a2a
121384790
13a6a0a0
14739884
155226b6
hex3b9b5c

3906396 has 72 divisors (see below), whose sum is σ = 11282544. Its totient is φ = 1128960.

The previous prime is 3906373. The next prime is 3906401. The reversal of 3906396 is 6936093.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3906396.

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, 7711 + ... + 8201.

It is an arithmetic number, because the mean of its divisors is an integer number (156702).

Almost surely, 23906396 is an apocalyptic number.

3906396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641272).

3906396 is an abundant number, since it is smaller than the sum of its proper divisors (7376148).

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

3906396 is a wasteful number, since it uses less digits than its factorization.

3906396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3906396 is about 1976.4604726632. The cubic root of 3906396 is about 157.4920933295.

It can be divided in two parts, 390 and 6396, that added together give a triangular number (6786 = T116).

The spelling of 3906396 in words is "three million, nine hundred six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 491 612 663 884 982 1326 1473 1964 1989 2652 2946 3978 4419 5892 6383 7956 8347 8838 12766 16694 17676 19149 25041 25532 33388 38298 50082 57447 75123 76596 100164 108511 114894 150246 217022 229788 300492 325533 434044 651066 976599 1302132 1953198 3906396