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2142342 = 23397409
BaseRepresentation
bin1000001011000010000110
311000211202000
420023002012
51022023332
6113530130
724131616
oct10130206
94024660
102142342
111233634
12873946
135a0177
143daa46
152c4b7c
hex20b086

2142342 has 32 divisors (see below), whose sum is σ = 4821600. Its totient is φ = 705024.

The previous prime is 2142341. The next prime is 2142353. The reversal of 2142342 is 2432412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5034 + ... + 5442.

It is an arithmetic number, because the mean of its divisors is an integer number (150675).

22142342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410800).

2142342 is an abundant number, since it is smaller than the sum of its proper divisors (2679258).

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

2142342 is a wasteful number, since it uses less digits than its factorization.

2142342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2142342 is about 1463.6741440635. The cubic root of 2142342 is about 128.9128670653.

Adding to 2142342 its reverse (2432412), we get a palindrome (4574754).

It can be divided in two parts, 214 and 2342, that added together give a triangular number (2556 = T71).

The spelling of 2142342 in words is "two million, one hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 409 582 818 873 1227 1746 2454 2619 3681 5238 7362 11043 22086 39673 79346 119019 238038 357057 714114 1071171 2142342