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2034140 = 2251953101
BaseRepresentation
bin111110000100111011100
310211100022112
413300213130
51010043030
6111333152
723201303
oct7604734
93740275
102034140
11116a309
128211b8
13562b44
143ad43a
152a2a95
hex1f09dc

2034140 has 48 divisors (see below), whose sum is σ = 4626720. Its totient is φ = 748800.

The previous prime is 2034139. The next prime is 2034157. The reversal of 2034140 is 414302.

Adding to 2034140 its reverse (414302), we get a palindrome (2448442).

It is a congruent number.

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, 20090 + ... + 20190.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

22034140 is an apocalyptic number.

2034140 is a gapful number since it is divisible by the number (20) 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 2034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313360).

2034140 is an abundant number, since it is smaller than the sum of its proper divisors (2592580).

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

2034140 is a wasteful number, since it uses less digits than its factorization.

2034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2034140 is about 1426.2328000716. The cubic root of 2034140 is about 126.7049591829.

The spelling of 2034140 in words is "two million, thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 101 106 190 202 212 265 380 404 505 530 1007 1010 1060 1919 2014 2020 3838 4028 5035 5353 7676 9595 10070 10706 19190 20140 21412 26765 38380 53530 101707 107060 203414 406828 508535 1017070 2034140