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34214166 = 23271715973
BaseRepresentation
bin1000001010000…
…1000100010110
32101101021000100
42002201010112
532224323131
63221154530
7563546520
oct202410426
971337010
1034214166
1118349678
12b55ba46
13711c18c
144788a10
15300c7e6
hex20a1116

34214166 has 48 divisors (see below), whose sum is σ = 89709984. Its totient is φ = 9199872.

The previous prime is 34214161. The next prime is 34214207. The reversal of 34214166 is 66141243.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34214161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5845 + ... + 10128.

It is an arithmetic number, because the mean of its divisors is an integer number (1868958).

Almost surely, 234214166 is an apocalyptic number.

34214166 is an abundant number, since it is smaller than the sum of its proper divisors (55495818).

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

34214166 is a wasteful number, since it uses less digits than its factorization.

34214166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16005 (or 16002 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 34214166 is about 5849.2876489364. The cubic root of 34214166 is about 324.6399673807.

The spelling of 34214166 in words is "thirty-four million, two hundred fourteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 15973 31946 47919 95838 111811 143757 223622 271541 287514 335433 543082 670866 814623 1006299 1629246 1900787 2012598 2443869 3801574 4887738 5702361 11404722 17107083 34214166