Search a number
-
+
389423040 = 26352271787
BaseRepresentation
bin10111001101100…
…001111111000000
31000010202201222120
4113031201333000
51244143014130
6102350404240
712436020066
oct2715417700
91003681876
10389423040
1118a901326
12aa500680
13628aa246
1439a10036
15242c4910
hex17361fc0

389423040 has 112 divisors (see below), whose sum is σ = 1242559872. Its totient is φ = 103330816.

The previous prime is 389423033. The next prime is 389423057. The reversal of 389423040 is 40324983.

It is a junction number, because it is equal to n+sod(n) for n = 389422992 and 389423010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217027 + ... + 218813.

Almost surely, 2389423040 is an apocalyptic number.

389423040 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 389423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621279936).

389423040 is an abundant number, since it is smaller than the sum of its proper divisors (853136832).

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

389423040 is a wasteful number, since it uses less digits than its factorization.

389423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 389423040 is about 19733.8044988796. The cubic root of 389423040 is about 730.2538930459.

The spelling of 389423040 in words is "three hundred eighty-nine million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 227 240 320 454 480 681 908 960 1135 1362 1787 1816 2270 2724 3405 3574 3632 4540 5361 5448 6810 7148 7264 8935 9080 10722 10896 13620 14296 14528 17870 18160 21444 21792 26805 27240 28592 35740 36320 42888 43584 53610 54480 57184 71480 72640 85776 107220 108960 114368 142960 171552 214440 217920 285920 343104 405649 428880 571840 811298 857760 1216947 1622596 1715520 2028245 2433894 3245192 4056490 4867788 6084735 6490384 8112980 9735576 12169470 12980768 16225960 19471152 24338940 25961536 32451920 38942304 48677880 64903840 77884608 97355760 129807680 194711520 389423040