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3330420 = 2235471181
BaseRepresentation
bin1100101101000101110100
320021012110220
430231011310
51323033140
6155214340
740210452
oct14550564
96235426
103330420
111975215
1211473b0
138c7b82
146299d2
1545bbd0
hex32d174

3330420 has 48 divisors (see below), whose sum is σ = 9531648. Its totient is φ = 868480.

The previous prime is 3330409. The next prime is 3330421. The reversal of 3330420 is 240333.

3330420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33304202 = 22183394752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3330420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2230 + ... + 3410.

It is an arithmetic number, because the mean of its divisors is an integer number (198576).

Almost surely, 23330420 is an apocalyptic number.

3330420 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 3330420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765824).

3330420 is an abundant number, since it is smaller than the sum of its proper divisors (6201228).

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

3330420 is a wasteful number, since it uses less digits than its factorization.

3330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3330420 is about 1824.9438347522. The cubic root of 3330420 is about 149.3366261143.

Adding to 3330420 its reverse (240333), we get a palindrome (3570753).

The spelling of 3330420 in words is "three million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1181 1410 2362 2820 3543 4724 5905 7086 11810 14172 17715 23620 35430 55507 70860 111014 166521 222028 277535 333042 555070 666084 832605 1110140 1665210 3330420