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3423120 = 243517839
BaseRepresentation
bin1101000011101110010000
320102220122020
431003232100
51334014440
6201211440
741044641
oct15035620
96386566
103423120
111a28928
121190b80
1392b11c
146516c8
154793d0
hex343b90

3423120 has 80 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 858112.

The previous prime is 3423083. The next prime is 3423139. The reversal of 3423120 is 213243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×34231203 (a number of 21 digits) contains 333 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 3423120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3661 + ... + 4499.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 23423120 is an apocalyptic number.

3423120 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 3423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3423120 is an abundant number, since it is smaller than the sum of its proper divisors (7826160).

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

3423120 is a wasteful number, since it uses less digits than its factorization.

3423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3423120 is about 1850.1675599794. The cubic root of 3423120 is about 150.7095274028.

Adding to 3423120 its reverse (213243), we get a palindrome (3636363).

The spelling of 3423120 in words is "three million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 839 1020 1360 1678 2040 2517 3356 4080 4195 5034 6712 8390 10068 12585 13424 14263 16780 20136 25170 28526 33560 40272 42789 50340 57052 67120 71315 85578 100680 114104 142630 171156 201360 213945 228208 285260 342312 427890 570520 684624 855780 1141040 1711560 3423120