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34242228 = 22323161503
BaseRepresentation
bin1000001010011…
…1111010110100
32101102200111200
42002213322310
532231222403
63221532500
7564024366
oct202477264
971380450
1034242228
1118368769
12b574130
13712bb97
144794d36
153015ca3
hex20a7eb4

34242228 has 72 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 10843200.

The previous prime is 34242227. The next prime is 34242251. The reversal of 34242228 is 82224243.

34242228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67825 + ... + 68327.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 234242228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34242228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088).

34242228 is an abundant number, since it is smaller than the sum of its proper divisors (56751948).

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

34242228 is a wasteful number, since it uses less digits than its factorization.

34242228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 600 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 34242228 is about 5851.6859109149. The cubic root of 34242228 is about 324.7286982420.

It can be divided in two parts, 34242 and 228, that multiplied together give a triangular number (7807176 = T3951).

The spelling of 34242228 in words is "thirty-four million, two hundred forty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 61 62 93 122 124 183 186 244 279 366 372 503 549 558 732 1006 1098 1116 1509 1891 2012 2196 3018 3782 4527 5673 6036 7564 9054 11346 15593 17019 18108 22692 30683 31186 34038 46779 61366 62372 68076 92049 93558 122732 140337 184098 187116 276147 280674 368196 552294 561348 951173 1104588 1902346 2853519 3804692 5707038 8560557 11414076 17121114 34242228