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3420160 = 2125167
BaseRepresentation
bin1101000011000000000000
320102202120121
431003000000
51333421120
6201150024
741033212
oct15030000
96382517
103420160
111a26687
12118b314
13929983
146505b2
154785aa
hex343000

3420160 has 52 divisors (see below), whose sum is σ = 8256528. Its totient is φ = 1359872.

The previous prime is 3420139. The next prime is 3420161. The reversal of 3420160 is 610243.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3420161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20397 + ... + 20563.

Almost surely, 23420160 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 3420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128264).

3420160 is an abundant number, since it is smaller than the sum of its proper divisors (4836368).

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

3420160 is an equidigital number, since it uses as much as digits as its factorization.

3420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3420160 is about 1849.3674594304. The cubic root of 3420160 is about 150.6660749535. Note that the first 3 decimals are identical.

The spelling of 3420160 in words is "three million, four hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 256 320 334 512 640 668 835 1024 1280 1336 1670 2048 2560 2672 3340 4096 5120 5344 6680 10240 10688 13360 20480 21376 26720 42752 53440 85504 106880 171008 213760 342016 427520 684032 855040 1710080 3420160