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39834342 = 2342961139
BaseRepresentation
bin1001011111110…
…1001011100110
32202221210110000
42113331023212
540144144332
63541442130
7662405052
oct227751346
982853400
1039834342
1120538149
1211410346
138339322
14540cc62
15376cb7c
hex25fd2e6

39834342 has 80 divisors (see below), whose sum is σ = 94525200. Its totient is φ = 12519360.

The previous prime is 39834341. The next prime is 39834391. The reversal of 39834342 is 24343893.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (62208) is a multiple of the sum of its prime factors (243).

It is a junction number, because it is equal to n+sod(n) for n = 39834297 and 39834306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39834341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286509 + ... + 286647.

It is an arithmetic number, because the mean of its divisors is an integer number (1181565).

Almost surely, 239834342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39834342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47262600).

39834342 is an abundant number, since it is smaller than the sum of its proper divisors (54690858).

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

39834342 is a wasteful number, since it uses less digits than its factorization.

39834342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 39834342 is about 6311.4453178333. The cubic root of 39834342 is about 341.5224174207.

The spelling of 39834342 in words is "thirty-nine million, eight hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 61 81 87 122 139 162 174 183 261 278 366 417 522 549 783 834 1098 1251 1566 1647 1769 2349 2502 3294 3538 3753 4031 4698 4941 5307 7506 8062 8479 9882 10614 11259 12093 15921 16958 22518 24186 25437 31842 36279 47763 50874 72558 76311 95526 108837 143289 152622 217674 228933 245891 286578 326511 457866 491782 653022 686799 737673 1373598 1475346 2213019 4426038 6639057 13278114 19917171 39834342