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20417034 = 23111731587
BaseRepresentation
bin100110111100…
…0101000001010
31102102021220110
41031320220022
520211321114
62005335150
7335353611
oct115705012
942367813
1020417034
1110585690
126a074b6
1342cb1b1
1429d6878
151bd4759
hex1378a0a

20417034 has 64 divisors (see below), whose sum is σ = 48771072. Its totient is φ = 5625600.

The previous prime is 20417029. The next prime is 20417069. The reversal of 20417034 is 43071402.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20417034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34489 + ... + 35075.

It is an arithmetic number, because the mean of its divisors is an integer number (762048).

Almost surely, 220417034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20417034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385536).

20417034 is an abundant number, since it is smaller than the sum of its proper divisors (28354038).

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

20417034 is a wasteful number, since it uses less digits than its factorization.

20417034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20417034 is about 4518.5212182748. The cubic root of 20417034 is about 273.3154720961.

Adding to 20417034 its reverse (43071402), we get a palindrome (63488436).

The spelling of 20417034 in words is "twenty million, four hundred seventeen thousand, thirty-four".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 93 102 186 187 341 374 527 561 587 682 1023 1054 1122 1174 1581 1761 2046 3162 3522 5797 6457 9979 11594 12914 17391 18197 19371 19958 29937 34782 36394 38742 54591 59874 109182 109769 200167 219538 309349 329307 400334 600501 618698 658614 928047 1201002 1856094 3402839 6805678 10208517 20417034