Search a number
-
+
389628360 = 233351132797
BaseRepresentation
bin10111001110010…
…100000111001000
31000011011011122000
4113032110013020
51244221101420
6102355031000
712440533512
oct2716240710
91004134560
10389628360
1118aa31610
12aa59b460
136294c834
1439a64bb2
1524315690
hex173941c8

389628360 has 128 divisors (see below), whose sum is σ = 1416873600. Its totient is φ = 94452480.

The previous prime is 389628359. The next prime is 389628361. The reversal of 389628360 is 63826983.

It is an interprime number because it is at equal distance from previous prime (389628359) and next prime (389628361).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (389628361) by changing a digit.

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, 4519 + ... + 28278.

It is an arithmetic number, because the mean of its divisors is an integer number (11069325).

Almost surely, 2389628360 is an apocalyptic number.

389628360 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 389628360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708436800).

389628360 is an abundant number, since it is smaller than the sum of its proper divisors (1027245240).

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

389628360 is a wasteful number, since it uses less digits than its factorization.

389628360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32828 (or 32818 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 389628360 is about 19739.0060540038. The cubic root of 389628360 is about 730.3822105575.

The spelling of 389628360 in words is "three hundred eighty-nine million, six hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 32797 65594 98391 131188 163985 196782 262376 295173 327970 360767 393564 491955 590346 655940 721534 787128 885519 983910 1082301 1180692 1311880 1443068 1475865 1771038 1803835 1967820 2164602 2361384 2886136 2951730 3246903 3542076 3607670 3935640 4329204 4427595 5411505 5903460 6493806 7084152 7215340 8658408 8855190 9740709 10823010 11806920 12987612 14430680 16234515 17710380 19481418 21646020 25975224 32469030 35420760 38962836 43292040 48703545 64938060 77925672 97407090 129876120 194814180 389628360