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34210512 = 24367419
BaseRepresentation
bin1000001010000…
…0001011010000
32101101002000000
42002200023100
532224214022
63221130000
7563533050
oct202401320
971332000
1034210512
1118346956
12b559900
13711a60b
144787560
15300b6ac
hex20a02d0

34210512 has 140 divisors (see below), whose sum is σ = 113846880. Its totient is φ = 9751104.

The previous prime is 34210483. The next prime is 34210531. The reversal of 34210512 is 21501243.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81439 + ... + 81857.

It is an arithmetic number, because the mean of its divisors is an integer number (813192).

Almost surely, 234210512 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 34210512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56923440).

34210512 is an abundant number, since it is smaller than the sum of its proper divisors (79636368).

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

34210512 is an equidigital number, since it uses as much as digits as its factorization.

34210512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34210512 is about 5848.9752948700. The cubic root of 34210512 is about 324.6284100171.

Adding to 34210512 its reverse (21501243), we get a palindrome (55711755).

The spelling of 34210512 in words is "thirty-four million, two hundred ten thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 419 432 486 504 567 648 729 756 838 972 1008 1134 1257 1296 1458 1512 1676 1701 1944 2268 2514 2916 2933 3024 3352 3402 3771 3888 4536 5028 5103 5832 5866 6704 6804 7542 8799 9072 10056 10206 11313 11664 11732 13608 15084 17598 20112 20412 22626 23464 26397 27216 30168 33939 35196 40824 45252 46928 52794 60336 67878 70392 79191 81648 90504 101817 105588 135756 140784 158382 181008 203634 211176 237573 271512 305451 316764 407268 422352 475146 543024 610902 633528 712719 814536 950292 1221804 1267056 1425438 1629072 1900584 2138157 2443608 2850876 3801168 4276314 4887216 5701752 8552628 11403504 17105256 34210512