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39830340 = 223511292081
BaseRepresentation
bin1001011111110…
…0001101000100
32202221120221210
42113330031010
540144032330
63541411420
7662360304
oct227741504
982846853
1039830340
1120535140
1211409b70
138337564
14540b604
15376b8b0
hex25fc344

39830340 has 96 divisors (see below), whose sum is σ = 125919360. Its totient is φ = 9318400.

The previous prime is 39830321. The next prime is 39830359. The reversal of 39830340 is 4303893.

It is a happy number.

39830340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39830321) and next prime (39830359).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 39830298 and 39830307.

It is a congruent number.

It is an unprimeable number.

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, 18100 + ... + 20180.

It is an arithmetic number, because the mean of its divisors is an integer number (1311660).

Almost surely, 239830340 is an apocalyptic number.

39830340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39830340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62959680).

39830340 is an abundant number, since it is smaller than the sum of its proper divisors (86089020).

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

39830340 is a wasteful number, since it uses less digits than its factorization.

39830340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 39830340 is about 6311.1282667998. The cubic root of 39830340 is about 341.5109798987.

The spelling of 39830340 in words is "thirty-nine million, eight hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 2081 3190 3828 4162 4785 6243 6380 8324 9570 10405 12486 19140 20810 22891 24972 31215 41620 45782 60349 62430 68673 91564 114455 120698 124860 137346 181047 228910 241396 274692 301745 343365 362094 457820 603490 663839 686730 724188 905235 1206980 1327678 1373460 1810470 1991517 2655356 3319195 3620940 3983034 6638390 7966068 9957585 13276780 19915170 39830340