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3930336 = 25334549
BaseRepresentation
bin1110111111100011100000
321101200102000
432333203200
52001232321
6220124000
745256464
oct16774340
97350360
103930336
112244a13
121396600
13a77c57
147444a4
15529826
hex3bf8e0

3930336 has 48 divisors (see below), whose sum is σ = 11466000. Its totient is φ = 1309824.

The previous prime is 3930331. The next prime is 3930337. The reversal of 3930336 is 6330393.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1411 + ... + 3138.

It is an arithmetic number, because the mean of its divisors is an integer number (238875).

Almost surely, 23930336 is an apocalyptic number.

3930336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3930336 is an abundant number, since it is smaller than the sum of its proper divisors (7535664).

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

3930336 is a wasteful number, since it uses less digits than its factorization.

3930336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The square root of 3930336 is about 1982.5075031384. The cubic root of 3930336 is about 157.8131637589.

The spelling of 3930336 in words is "three million, nine hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4549 9098 13647 18196 27294 36392 40941 54588 72784 81882 109176 122823 145568 163764 218352 245646 327528 436704 491292 655056 982584 1310112 1965168 3930336