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2042334 = 23471801
BaseRepresentation
bin111110010100111011110
310211202120000
413302213132
51010323314
6111435130
723234220
oct7624736
93752500
102042334
111175488
12825aa6
135667a8
143b2410
152a5209
hex1f29de

2042334 has 40 divisors (see below), whose sum is σ = 5233008. Its totient is φ = 583200.

The previous prime is 2042323. The next prime is 2042347. The reversal of 2042334 is 4332402.

It is a super-2 number, since 2×20423342 = 8342256335112, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 29 + 0 + 42 + 213 + 311 + 313 + 49 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 234 + ... + 2034.

22042334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616504).

2042334 is an abundant number, since it is smaller than the sum of its proper divisors (3190674).

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

2042334 is a wasteful number, since it uses less digits than its factorization.

2042334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2042334 is about 1429.1025155670. The cubic root of 2042334 is about 126.8748638241.

Adding to 2042334 its reverse (4332402), we get a palindrome (6374736).

The spelling of 2042334 in words is "two million, forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1801 3602 5403 10806 12607 16209 25214 32418 37821 48627 75642 97254 113463 145881 226926 291762 340389 680778 1021167 2042334