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21414312 = 2332297421
BaseRepresentation
bin101000110110…
…0000110101000
31111021221220200
41101230012220
520440224222
62042552200
7350006253
oct121540650
944257820
1021414312
11110a6987
127208660
13458a0ba
142bb609a
151d2eeac
hex146c1a8

21414312 has 24 divisors (see below), whose sum is σ = 57997290. Its totient is φ = 7138080.

The previous prime is 21414299. The next prime is 21414313. The reversal of 21414312 is 21341412.

It can be written as a sum of positive squares in only one way, i.e., 21288996 + 125316 = 4614^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 not an unprimeable number, because it can be changed into a prime (21414313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148639 + ... + 148782.

Almost surely, 221414312 is an apocalyptic number.

It is an amenable number.

21414312 is an abundant number, since it is smaller than the sum of its proper divisors (36582978).

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

21414312 is a wasteful number, since it uses less digits than its factorization.

21414312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297433 (or 297426 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 21414312 is about 4627.5600482328. The cubic root of 21414312 is about 277.6949883529.

Adding to 21414312 its reverse (21341412), we get a palindrome (42755724).

Subtracting from 21414312 its reverse (21341412), we obtain a square (72900 = 2702).

The spelling of 21414312 in words is "twenty-one million, four hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 297421 594842 892263 1189684 1784526 2379368 2676789 3569052 5353578 7138104 10707156 21414312