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20349918 = 2321773911
BaseRepresentation
bin100110110100…
…0001111011110
31102021212211200
41031220033132
520202144133
62004100330
7334654131
oct115501736
942255750
1020349918
111053a216
1269946a6
1342a6794
1429ba218
151bbe913
hex13683de

20349918 has 48 divisors (see below), whose sum is σ = 47376576. Its totient is φ = 6289920.

The previous prime is 20349913. The next prime is 20349929. The reversal of 20349918 is 81994302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20349911) 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, 21883 + ... + 22793.

It is an arithmetic number, because the mean of its divisors is an integer number (987012).

Almost surely, 220349918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20349918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23688288).

20349918 is an abundant number, since it is smaller than the sum of its proper divisors (27026658).

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

20349918 is a wasteful number, since it uses less digits than its factorization.

20349918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20349918 is about 4511.0883387493. The cubic root of 20349918 is about 273.0156574363.

The spelling of 20349918 in words is "twenty million, three hundred forty-nine thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 73 102 146 153 219 306 438 657 911 1241 1314 1822 2482 2733 3723 5466 7446 8199 11169 15487 16398 22338 30974 46461 66503 92922 133006 139383 199509 278766 399018 598527 1130551 1197054 2261102 3391653 6783306 10174959 20349918