Search a number
-
+
3385880 = 235471801
BaseRepresentation
bin1100111010101000011000
320101000112222
430322220120
51331322010
6200323212
740531241
oct14725030
96330488
103385880
111a02953
121173508
139171a4
14641cc8
1546d355
hex33aa18

3385880 has 32 divisors (see below), whose sum is σ = 7784640. Its totient is φ = 1324800.

The previous prime is 3385859. The next prime is 3385883. The reversal of 3385880 is 885833.

It is a super-2 number, since 2×33858802 = 22928366748800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3385880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385883) 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, 980 + ... + 2780.

It is an arithmetic number, because the mean of its divisors is an integer number (243270).

Almost surely, 23385880 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 3385880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892320).

3385880 is an abundant number, since it is smaller than the sum of its proper divisors (4398760).

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

3385880 is a wasteful number, since it uses less digits than its factorization.

3385880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 3385880 is about 1840.0760853834. The cubic root of 3385880 is about 150.1610122903.

The spelling of 3385880 in words is "three million, three hundred eighty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1801 1880 3602 7204 9005 14408 18010 36020 72040 84647 169294 338588 423235 677176 846470 1692940 3385880