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3355080 = 233573383
BaseRepresentation
bin1100110011000111001000
320022110022020
430303013020
51324330310
6155524440
740342401
oct14630710
96273266
103355080
1119917a3
121159720
13906171
146349a8
15464170
hex3331c8

3355080 has 64 divisors (see below), whose sum is σ = 10229760. Its totient is φ = 880128.

The previous prime is 3355073. The next prime is 3355081. The reversal of 3355080 is 805533.

It is a super-2 number, since 2×33550802 = 22513123612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3355080.

It is not an unprimeable number, because it can be changed into a prime (3355081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8569 + ... + 8951.

It is an arithmetic number, because the mean of its divisors is an integer number (159840).

Almost surely, 23355080 is an apocalyptic number.

3355080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3355080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114880).

3355080 is an abundant number, since it is smaller than the sum of its proper divisors (6874680).

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

3355080 is a wasteful number, since it uses less digits than its factorization.

3355080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 3355080 is about 1831.6877463149. The cubic root of 3355080 is about 149.7043063738.

The spelling of 3355080 in words is "three million, three hundred fifty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 383 438 584 730 766 876 1095 1149 1460 1532 1752 1915 2190 2298 2920 3064 3830 4380 4596 5745 7660 8760 9192 11490 15320 22980 27959 45960 55918 83877 111836 139795 167754 223672 279590 335508 419385 559180 671016 838770 1118360 1677540 3355080