Search a number
-
+
3353856 = 28311397
BaseRepresentation
bin1100110010110100000000
320022101121220
430302310000
51324310411
6155515040
740336002
oct14626400
96271556
103353856
111990890
121158a80
1390573c
14634372
15463b06
hex332d00

3353856 has 72 divisors (see below), whose sum is σ = 9762144. Its totient is φ = 1013760.

The previous prime is 3353851. The next prime is 3353869. The reversal of 3353856 is 6583533.

It is a super-2 number, since 2×33538562 = 22496700137472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353851) 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, 8250 + ... + 8646.

Almost surely, 23353856 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 3353856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881072).

3353856 is an abundant number, since it is smaller than the sum of its proper divisors (6408288).

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

3353856 is a wasteful number, since it uses less digits than its factorization.

3353856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 3353856 is about 1831.3535977522. The cubic root of 3353856 is about 149.6860991220.

The spelling of 3353856 in words is "three million, three hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 397 528 704 768 794 1056 1191 1408 1588 2112 2382 2816 3176 4224 4367 4764 6352 8448 8734 9528 12704 13101 17468 19056 25408 26202 34936 38112 50816 52404 69872 76224 101632 104808 139744 152448 209616 279488 304896 419232 558976 838464 1117952 1676928 3353856