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2142324 = 223259509
BaseRepresentation
bin1000001011000001110100
311000211201100
420023001310
51022023244
6113530100
724131562
oct10130164
94024640
102142324
111233618
12873930
135a0162
143daa32
152c4b69
hex20b074

2142324 has 18 divisors (see below), whose sum is σ = 5415410. Its totient is φ = 714096.

The previous prime is 2142299. The next prime is 2142341. The reversal of 2142324 is 4232412.

It can be written as a sum of positive squares in only one way, i.e., 1299600 + 842724 = 1140^2 + 918^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2142297 and 2142306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29719 + ... + 29790.

22142324 is an apocalyptic number.

It is an amenable number.

2142324 is an abundant number, since it is smaller than the sum of its proper divisors (3273086).

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

2142324 is a wasteful number, since it uses less digits than its factorization.

2142324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59519 (or 59514 counting only the distinct ones).

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

The square root of 2142324 is about 1463.6679951410. The cubic root of 2142324 is about 128.9125060214.

Adding to 2142324 its reverse (4232412), we get a palindrome (6374736).

The spelling of 2142324 in words is "two million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59509 119018 178527 238036 357054 535581 714108 1071162 2142324