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34221204 = 22351719109
BaseRepresentation
bin1000001010001…
…0110010010100
32101101121200000
42002202302110
532230034304
63221251300
7563606163
oct202426224
971347600
1034221204
1118353996
12b563b30
137122444
14478b3da
15300e939
hex20a2c94

34221204 has 144 divisors (see below), whose sum is σ = 100900800. Its totient is φ = 10077696.

The previous prime is 34221203. The next prime is 34221251. The reversal of 34221204 is 40212243.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34221203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313902 + ... + 314010.

It is an arithmetic number, because the mean of its divisors is an integer number (700700).

Almost surely, 234221204 is an apocalyptic number.

34221204 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34221204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50450400).

34221204 is an abundant number, since it is smaller than the sum of its proper divisors (66679596).

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

34221204 is a wasteful number, since it uses less digits than its factorization.

34221204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

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

The square root of 34221204 is about 5849.8892297205. The cubic root of 34221204 is about 324.6622257970.

Adding to 34221204 its reverse (40212243), we get a palindrome (74433447).

The spelling of 34221204 in words is "thirty-four million, two hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 109 114 153 162 171 204 218 228 243 306 323 324 327 342 436 459 486 513 612 646 654 684 918 969 972 981 1026 1292 1308 1377 1539 1836 1853 1938 1962 2052 2071 2754 2907 2943 3078 3706 3876 3924 4131 4142 4617 5508 5559 5814 5886 6156 6213 7412 8262 8284 8721 8829 9234 11118 11628 11772 12426 16524 16677 17442 17658 18468 18639 22236 24852 26163 26487 33354 34884 35207 35316 37278 50031 52326 52974 55917 66708 70414 74556 78489 100062 104652 105621 105948 111834 140828 150093 156978 167751 200124 211242 223668 300186 313956 316863 335502 422484 450279 503253 600372 633726 671004 900558 950589 1006506 1267452 1801116 1901178 2013012 2851767 3802356 5703534 8555301 11407068 17110602 34221204