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387837342 = 233311911213
BaseRepresentation
bin10111000111011…
…110110110011110
31000000210011211000
4113013132312132
51243241243332
6102252411130
712416364054
oct2707366636
91000704730
10387837342
11189a18a32
12a9a76aa6
1362473569
143971a1d4
15240aeb7c
hex171ded9e

387837342 has 64 divisors (see below), whose sum is σ = 895057920. Its totient is φ = 124351200.

The previous prime is 387837323. The next prime is 387837343. The reversal of 387837342 is 243738783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387837343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319128 + ... + 320340.

It is an arithmetic number, because the mean of its divisors is an integer number (13985280).

Almost surely, 2387837342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387837342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447528960).

387837342 is an abundant number, since it is smaller than the sum of its proper divisors (507220578).

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

387837342 is a wasteful number, since it uses less digits than its factorization.

387837342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1440 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 387837342 is about 19693.5863163620. The cubic root of 387837342 is about 729.2613671020.

The spelling of 387837342 in words is "three hundred eighty-seven million, eight hundred thirty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 191 279 382 558 573 837 1146 1213 1674 1719 2426 3438 3639 5157 5921 7278 10314 10917 11842 17763 21834 32751 35526 37603 53289 65502 75206 106578 112809 159867 225618 231683 319734 338427 463366 676854 695049 1015281 1390098 2030562 2085147 4170294 6255441 7182173 12510882 14364346 21546519 43093038 64639557 129279114 193918671 387837342