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3897344 = 21111173
BaseRepresentation
bin1110110111100000000000
321100000011002
432313200000
51444203334
6215311132
745061343
oct16674000
97300132
103897344
112222150
12137b4a8
13a65c29
1473645a
1551eb7e
hex3b7800

3897344 has 48 divisors (see below), whose sum is σ = 8550360. Its totient is φ = 1761280.

The previous prime is 3897331. The next prime is 3897347. The reversal of 3897344 is 4437983.

It is a junction number, because it is equal to n+sod(n) for n = 3897298 and 3897307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3897347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22442 + ... + 22614.

Almost surely, 23897344 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 3897344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275180).

3897344 is an abundant number, since it is smaller than the sum of its proper divisors (4653016).

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

3897344 is a wasteful number, since it uses less digits than its factorization.

3897344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 3897344 is about 1974.1691923440. The cubic root of 3897344 is about 157.3703510203.

The spelling of 3897344 in words is "three million, eight hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 173 176 256 346 352 512 692 704 1024 1384 1408 1903 2048 2768 2816 3806 5536 5632 7612 11072 11264 15224 22144 22528 30448 44288 60896 88576 121792 177152 243584 354304 487168 974336 1948672 3897344