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3923328 = 27317601
BaseRepresentation
bin1110111101110110000000
321101022210110
432331312000
52001021303
6220031320
745230163
oct16756600
97338713
103923328
11223a722
121392540
13a749c6
14741ada
15527703
hex3bdd80

3923328 has 64 divisors (see below), whose sum is σ = 11052720. Its totient is φ = 1228800.

The previous prime is 3923321. The next prime is 3923347. The reversal of 3923328 is 8233293.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3923295 and 3923304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6228 + ... + 6828.

Almost surely, 23923328 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 3923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5526360).

3923328 is an abundant number, since it is smaller than the sum of its proper divisors (7129392).

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

3923328 is a wasteful number, since it uses less digits than its factorization.

3923328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 3923328 is about 1980.7392559345. The cubic root of 3923328 is about 157.7193115091.

The spelling of 3923328 in words is "three million, nine hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 601 816 1088 1202 1632 1803 2176 2404 3264 3606 4808 6528 7212 9616 10217 14424 19232 20434 28848 30651 38464 40868 57696 61302 76928 81736 115392 122604 163472 230784 245208 326944 490416 653888 980832 1307776 1961664 3923328