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212420034 = 23237318949
BaseRepresentation
bin11001010100101…
…00010111000010
3112210201001111200
430222110113002
5413334420114
633024522030
75156353251
oct1452242702
9483631450
10212420034
11a99a6352
125b180316
1335015538
14202d6798
15139ae409
hexca945c2

212420034 has 24 divisors (see below), whose sum is σ = 472683900. Its totient is φ = 68892768.

The previous prime is 212420027. The next prime is 212420059. The reversal of 212420034 is 430024212.

212420034 is a `hidden beast` number, since 212 + 420 + 0 + 34 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203148009 + 9272025 = 14253^2 + 3045^2 .

It is a super-2 number, since 2×2124200342 = 90244541689122312, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212419989 and 212420016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158809 + ... + 160140.

Almost surely, 2212420034 is an apocalyptic number.

212420034 is an abundant number, since it is smaller than the sum of its proper divisors (260263866).

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

212420034 is a wasteful number, since it uses less digits than its factorization.

212420034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318994 (or 318991 counting only the distinct ones).

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

The square root of 212420034 is about 14574.6366678556. The cubic root of 212420034 is about 596.6667331787. Note that the first 3 decimals are identical.

Adding to 212420034 its reverse (430024212), we get a palindrome (642444246).

The spelling of 212420034 in words is "two hundred twelve million, four hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 318949 637898 956847 1913694 2870541 5741082 11801113 23602226 35403339 70806678 106210017 212420034