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34402212 = 223313107229
BaseRepresentation
bin1000001100111…
…0111110100100
32101201210222000
42003032332210
532301332322
63225205300
7565261665
oct203167644
971653860
1034402212
1118467989
12b630830
137186950
1447d736c
1530483ac
hex20cefa4

34402212 has 96 divisors (see below), whose sum is σ = 97372800. Its totient is φ = 10440576.

The previous prime is 34402211. The next prime is 34402243. The reversal of 34402212 is 21220443.

34402212 is a `hidden beast` number, since 3 + 440 + 221 + 2 = 666.

34402212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (34402211) 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 31 ways as a sum of consecutive naturals, for example, 150114 + ... + 150342.

It is an arithmetic number, because the mean of its divisors is an integer number (1014300).

Almost surely, 234402212 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 34402212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48686400).

34402212 is an abundant number, since it is smaller than the sum of its proper divisors (62970588).

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

34402212 is a wasteful number, since it uses less digits than its factorization.

34402212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

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

The square root of 34402212 is about 5865.3398878496. The cubic root of 34402212 is about 325.2336371301.

Adding to 34402212 its reverse (21220443), we get a palindrome (55622655).

The spelling of 34402212 in words is "thirty-four million, four hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 107 108 117 156 214 229 234 321 351 428 458 468 642 687 702 916 963 1284 1374 1391 1404 1926 2061 2748 2782 2889 2977 3852 4122 4173 5564 5778 5954 6183 8244 8346 8931 11556 11908 12366 12519 16692 17862 24503 24732 25038 26793 35724 37557 49006 50076 53586 73509 75114 80379 98012 107172 147018 150228 160758 220527 294036 318539 321516 441054 637078 661581 882108 955617 1274156 1323162 1911234 2646324 2866851 3822468 5733702 8600553 11467404 17201106 34402212