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34214022 = 2331933347
BaseRepresentation
bin1000001010000…
…1000010000110
32101101020211000
42002201002012
532224322042
63221154130
7563546223
oct202410206
971336730
1034214022
1118349557
12b55b946
13711c0ab
14478894a
15300c74c
hex20a1086

34214022 has 32 divisors (see below), whose sum is σ = 80035200. Its totient is φ = 10804104.

The previous prime is 34214009. The next prime is 34214023. The reversal of 34214022 is 22041243.

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

34214022 is a modest number, since divided by 14022 gives 342 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 34213986 and 34214004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34214023) 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, 15648 + ... + 17699.

It is an arithmetic number, because the mean of its divisors is an integer number (2501100).

Almost surely, 234214022 is an apocalyptic number.

34214022 is an abundant number, since it is smaller than the sum of its proper divisors (45821178).

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

34214022 is a wasteful number, since it uses less digits than its factorization.

34214022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33377 (or 33371 counting only the distinct ones).

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

The square root of 34214022 is about 5849.2753397323. The cubic root of 34214022 is about 324.6395119337.

Adding to 34214022 its reverse (22041243), we get a palindrome (56255265).

The spelling of 34214022 in words is "thirty-four million, two hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 33347 66694 100041 200082 300123 600246 633593 900369 1267186 1800738 1900779 3801558 5702337 11404674 17107011 34214022