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3930816 = 26359347
BaseRepresentation
bin1110111111101011000000
321101201001210
432333223000
52001241231
6220130120
745261051
oct16775300
97351053
103930816
11224530a
121396940
13a78236
14744728
15529a46
hex3bfac0

3930816 has 56 divisors (see below), whose sum is σ = 10607040. Its totient is φ = 1284352.

The previous prime is 3930811. The next prime is 3930827. The reversal of 3930816 is 6180393.

It is not an unprimeable number, because it can be changed into a prime (3930811) 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, 11155 + ... + 11501.

Almost surely, 23930816 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 3930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303520).

3930816 is an abundant number, since it is smaller than the sum of its proper divisors (6676224).

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

3930816 is a wasteful number, since it uses less digits than its factorization.

3930816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3930816 is about 1982.6285582529. The cubic root of 3930816 is about 157.8195879116.

The spelling of 3930816 in words is "three million, nine hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 347 354 472 694 708 944 1041 1388 1416 1888 2082 2776 2832 3776 4164 5552 5664 8328 11104 11328 16656 20473 22208 33312 40946 61419 66624 81892 122838 163784 245676 327568 491352 655136 982704 1310272 1965408 3930816