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19442934 = 23271729313
BaseRepresentation
bin100101000101…
…0110011110110
31100120210200200
41022022303312
514434133214
61532421330
7324155640
oct112126366
940523620
1019442934
11aa7a845
126617846
1340499c4
142821890
151a90d09
hex128acf6

19442934 has 96 divisors (see below), whose sum is σ = 52902720. Its totient is φ = 5031936.

The previous prime is 19442881. The next prime is 19442939. The reversal of 19442934 is 43924491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19442939) 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 47 ways as a sum of consecutive naturals, for example, 61962 + ... + 62274.

It is an arithmetic number, because the mean of its divisors is an integer number (551070).

Almost surely, 219442934 is an apocalyptic number.

19442934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19442934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26451360).

19442934 is an abundant number, since it is smaller than the sum of its proper divisors (33459786).

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

19442934 is a wasteful number, since it uses less digits than its factorization.

19442934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 371 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 19442934 is about 4409.4142468133. The cubic root of 19442934 is about 268.8978113162.

The spelling of 19442934 in words is "nineteen million, four hundred forty-two thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 29 34 42 51 58 63 87 102 119 126 153 174 203 238 261 306 313 357 406 493 522 609 626 714 939 986 1071 1218 1479 1827 1878 2142 2191 2817 2958 3451 3654 4382 4437 5321 5634 6573 6902 8874 9077 10353 10642 13146 15963 18154 19719 20706 27231 31059 31926 37247 39438 47889 54462 62118 63539 74494 81693 95778 111741 127078 154309 163386 190617 223482 308618 335223 381234 462927 571851 670446 925854 1080163 1143702 1388781 2160326 2777562 3240489 6480978 9721467 19442934