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3420360 = 233353167
BaseRepresentation
bin1101000011000011001000
320102202212000
431003003020
51333422420
6201151000
741033616
oct15030310
96382760
103420360
111a26849
12118b460
13929aa8
146506b6
15478690
hex3430c8

3420360 has 64 divisors (see below), whose sum is σ = 11404800. Its totient is φ = 911808.

The previous prime is 3420341. The next prime is 3420367. The reversal of 3420360 is 630243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3420367) 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, 504 + ... + 2663.

It is an arithmetic number, because the mean of its divisors is an integer number (178200).

Almost surely, 23420360 is an apocalyptic number.

3420360 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 3420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702400).

3420360 is an abundant number, since it is smaller than the sum of its proper divisors (7984440).

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

3420360 is a wasteful number, since it uses less digits than its factorization.

3420360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3420360 is about 1849.4215311821. The cubic root of 3420360 is about 150.6690117194.

The spelling of 3420360 in words is "three million, four hundred twenty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3167 6334 9501 12668 15835 19002 25336 28503 31670 38004 47505 57006 63340 76008 85509 95010 114012 126680 142515 171018 190020 228024 285030 342036 380040 427545 570060 684072 855090 1140120 1710180 3420360