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3422160 = 243257297
BaseRepresentation
bin1101000011011111010000
320102212022200
431003133100
51334002120
6201203200
741042100
oct15033720
96385280
103422160
111a28135
121190500
1392a861
14651200
15478e90
hex3437d0

3422160 has 180 divisors, whose sum is σ = 13506948. Its totient is φ = 774144.

The previous prime is 3422143. The next prime is 3422171. The reversal of 3422160 is 612243.

It is a happy number.

3422160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 2039184 = 1176^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×34221602 = 23422358131200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 35232 + ... + 35328.

Almost surely, 23422160 is an apocalyptic number.

3422160 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 3422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753474).

3422160 is an abundant number, since it is smaller than the sum of its proper divisors (10084788).

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

3422160 is a wasteful number, since it uses less digits than its factorization.

3422160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3422160 is about 1849.9081058258. The cubic root of 3422160 is about 150.6954374621.

It can be divided in two parts, 342 and 2160, that multiplied together give a triangular number (738720 = T1215).

The spelling of 3422160 in words is "three million, four hundred twenty-two thousand, one hundred sixty".