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20394342 = 234312131
BaseRepresentation
bin100110111001…
…1000101100110
31102101010210000
41031303011212
520210104332
62005042130
7335230503
oct115630546
942333700
1020394342
111056a631
1269b6346
1342c0a77
1429cc4aa
151bccb7c
hex1373166

20394342 has 60 divisors (see below), whose sum is σ = 47580588. Its totient is φ = 6528600.

The previous prime is 20394323. The next prime is 20394349. The reversal of 20394342 is 24349302.

It is a happy number.

It is a super-2 number, since 2×203943422 = 831858371225928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20394349) 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 29 ways as a sum of consecutive naturals, for example, 155617 + ... + 155747.

Almost surely, 220394342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20394342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23790294).

20394342 is an abundant number, since it is smaller than the sum of its proper divisors (27186246).

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

20394342 is a wasteful number, since it uses less digits than its factorization.

20394342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 20394342 is about 4516.0095216906. The cubic root of 20394342 is about 273.2141780194.

It can be divided in two parts, 20394 and 342, that added together give a 4-th power (20736 = 124).

The spelling of 20394342 in words is "twenty million, three hundred ninety-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 131 162 186 262 279 393 558 786 837 961 1179 1674 1922 2358 2511 2883 3537 4061 5022 5766 7074 8122 8649 10611 12183 17298 21222 24366 25947 36549 51894 73098 77841 109647 125891 155682 219294 251782 328941 377673 657882 755346 1133019 2266038 3399057 6798114 10197171 20394342