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20310342 = 231317353
BaseRepresentation
bin100110101111…
…0100101000110
31102012212112220
41031132211012
520144412332
62003153210
7334430553
oct115364506
942185486
1020310342
1110512508
126975806
134291770
1429a9a2a
151bb2d2c
hex135e946

20310342 has 64 divisors (see below), whose sum is σ = 47355840. Its totient is φ = 5770752.

The previous prime is 20310341. The next prime is 20310343. The reversal of 20310342 is 24301302.

It is an interprime number because it is at equal distance from previous prime (20310341) and next prime (20310343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20310341) 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 31 ways as a sum of consecutive naturals, for example, 383188 + ... + 383240.

It is an arithmetic number, because the mean of its divisors is an integer number (739935).

Almost surely, 220310342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20310342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23677920).

20310342 is an abundant number, since it is smaller than the sum of its proper divisors (27045498).

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

20310342 is a wasteful number, since it uses less digits than its factorization.

20310342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20310342 is about 4506.6996793663. The cubic root of 20310342 is about 272.8385579581.

Adding to 20310342 its reverse (24301302), we get a palindrome (44611644).

The spelling of 20310342 in words is "twenty million, three hundred ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 53 78 102 106 159 221 289 318 442 578 663 689 867 901 1326 1378 1734 1802 2067 2703 3757 4134 4913 5406 7514 9826 11271 11713 14739 15317 22542 23426 29478 30634 35139 45951 63869 70278 91902 127738 191607 199121 260389 383214 398242 520778 597363 781167 1194726 1562334 3385057 6770114 10155171 20310342