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34212144 = 2434211693
BaseRepresentation
bin1000001010000…
…0100100110000
32101101011020110
42002200210300
532224242034
63221141320
7563540601
oct202404460
971334213
1034212144
11183480aa
12b55a840
13711b295
144787da8
15300bde9
hex20a0930

34212144 has 40 divisors (see below), whose sum is σ = 88643632. Its totient is φ = 11370240.

The previous prime is 34212137. The next prime is 34212169. The reversal of 34212144 is 44121243.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34212144.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19362 + ... + 21054.

Almost surely, 234212144 is an apocalyptic number.

It is an amenable number.

34212144 is an abundant number, since it is smaller than the sum of its proper divisors (54431488).

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

34212144 is a wasteful number, since it uses less digits than its factorization.

34212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2119 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 34212144 is about 5849.1148048230. The cubic root of 34212144 is about 324.6335720283.

Adding to 34212144 its reverse (44121243), we get a palindrome (78333387).

Subtracting 34212144 from its reverse (44121243), we obtain a palindrome (9909099).

It can be divided in two parts, 3421 and 2144, that added together give a triangular number (5565 = T105).

The spelling of 34212144 in words is "thirty-four million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 421 842 1263 1684 1693 2526 3368 3386 5052 5079 6736 6772 10104 10158 13544 20208 20316 27088 40632 81264 712753 1425506 2138259 2851012 4276518 5702024 8553036 11404048 17106072 34212144