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387738036 = 22337539677
BaseRepresentation
bin10111000111000…
…110100110110100
31000000121010121000
4113013012212310
51243230104121
6102250323300
712415501410
oct2707064664
91000533530
10387738036
11189960364
12a9a29530
136243a2ba
14396d1d40
1524090526
hex171c69b4

387738036 has 96 divisors (see below), whose sum is σ = 1170650880. Its totient is φ = 108680832.

The previous prime is 387738011. The next prime is 387738037. The reversal of 387738036 is 630837783.

It is a super-2 number, since 2×3877380362 = 300681569122274592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 387737982 and 387738000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387738037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35230 + ... + 44906.

It is an arithmetic number, because the mean of its divisors is an integer number (12194280).

Almost surely, 2387738036 is an apocalyptic number.

387738036 is a gapful number since it is divisible by the number (36) 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 387738036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585325440).

387738036 is an abundant number, since it is smaller than the sum of its proper divisors (782912844).

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

387738036 is a wasteful number, since it uses less digits than its factorization.

387738036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9750 (or 9742 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 387738036 is about 19691.0648772483. The cubic root of 387738036 is about 729.1991191753.

The spelling of 387738036 in words is "three hundred eighty-seven million, seven hundred thirty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1431 1484 1908 2226 2862 3339 4452 5724 6678 9677 10017 13356 19354 20034 29031 38708 40068 58062 67739 87093 116124 135478 174186 203217 261279 270956 348372 406434 512881 522558 609651 812868 1025762 1045116 1219302 1538643 1828953 2051524 2438604 3077286 3590167 3657906 4615929 6154572 7180334 7315812 9231858 10770501 13847787 14360668 18463716 21541002 27695574 32311503 43082004 55391148 64623006 96934509 129246012 193869018 387738036