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34022916 = 2235172971
BaseRepresentation
bin1000000111001…
…0011000000100
32101000112200000
42001302120010
532202213131
63213121300
7562122114
oct201623004
971015600
1034022916
1118228a14
12b489230
137083105
144739044
152ec0ce6
hex2072604

34022916 has 144 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 10160640.

The previous prime is 34022909. The next prime is 34022917. The reversal of 34022916 is 61922043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 34022916.

It is not an unprimeable number, because it can be changed into a prime (34022917) 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, 479161 + ... + 479231.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 234022916 is an apocalyptic number.

34022916 is a gapful number since it is divisible by the number (36) 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 34022916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

34022916 is an abundant number, since it is smaller than the sum of its proper divisors (65043324).

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

34022916 is a wasteful number, since it uses less digits than its factorization.

34022916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34022916 is about 5832.9165946377. The cubic root of 34022916 is about 324.0339470604.

Adding to 34022916 its reverse (61922043), we get a palindrome (95944959).

The spelling of 34022916 in words is "thirty-four million, twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 71 81 87 102 108 116 142 153 162 174 204 213 243 261 284 306 324 348 426 459 486 493 522 612 639 783 852 918 972 986 1044 1207 1278 1377 1479 1566 1836 1917 1972 2059 2349 2414 2556 2754 2958 3132 3621 3834 4118 4131 4437 4698 4828 5508 5751 5916 6177 7047 7242 7668 8236 8262 8874 9396 10863 11502 12354 13311 14094 14484 16524 17253 17748 18531 21726 23004 24708 26622 28188 32589 34506 35003 37062 39933 43452 53244 55593 65178 69012 70006 74124 79866 97767 105009 111186 119799 130356 140012 159732 166779 195534 210018 222372 239598 293301 315027 333558 391068 420036 479196 500337 586602 630054 667116 945081 1000674 1173204 1260108 1890162 2001348 2835243 3780324 5670486 8505729 11340972 17011458 34022916