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387341352 = 2334718419
BaseRepresentation
bin10111000101100…
…101110000101000
3222222211222110000
4113011211300220
51243124410402
6102234023000
712412230036
oct2705456050
9888758400
10387341352
1118970a322
12a9877a60
136232b888
143962b556
1524012c1c
hex17165c28

387341352 has 80 divisors (see below), whose sum is σ = 1100325600. Its totient is φ = 127280160.

The previous prime is 387341327. The next prime is 387341401. The reversal of 387341352 is 253143783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

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 19 ways as a sum of consecutive naturals, for example, 41799 + ... + 50217.

It is an arithmetic number, because the mean of its divisors is an integer number (13754070).

Almost surely, 2387341352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387341352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550162800).

387341352 is an abundant number, since it is smaller than the sum of its proper divisors (712984248).

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

387341352 is a wasteful number, since it uses less digits than its factorization.

387341352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508 (or 8495 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 387341352 is about 19680.9896092651. The cubic root of 387341352 is about 728.9503598775.

The spelling of 387341352 in words is "three hundred eighty-seven million, three hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 648 852 1278 1704 1917 2556 3834 5112 5751 7668 8419 11502 15336 16838 23004 25257 33676 46008 50514 67352 75771 101028 151542 202056 227313 303084 454626 597749 606168 681939 909252 1195498 1363878 1793247 1818504 2390996 2727756 3586494 4781992 5379741 5455512 7172988 10759482 14345976 16139223 21518964 32278446 43037928 48417669 64556892 96835338 129113784 193670676 387341352