Search a number
-
+
385938756 = 22347170167
BaseRepresentation
bin10111000000001…
…111010101000100
3222220012201110000
4113000033111010
51242300020011
6102144001300
712364265610
oct2700172504
9886181400
10385938756
11188941555
12a9300230
1361c5a338
1439384340
1523d37356
hex1700f544

385938756 has 60 divisors (see below), whose sum is σ = 1153058368. Its totient is φ = 110267568.

The previous prime is 385938701. The next prime is 385938767. The reversal of 385938756 is 657839583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82816 + ... + 87351.

Almost surely, 2385938756 is an apocalyptic number.

385938756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385938756 is an abundant number, since it is smaller than the sum of its proper divisors (767119612).

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

385938756 is a wasteful number, since it uses less digits than its factorization.

385938756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170190 (or 170179 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 385938756 is about 19645.3240237976. The cubic root of 385938756 is about 728.0694319521.

The spelling of 385938756 in words is "three hundred eighty-five million, nine hundred thirty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 170167 340334 510501 680668 1021002 1191169 1531503 2042004 2382338 3063006 3573507 4594509 4764676 6126012 7147014 9189018 10720521 13783527 14294028 18378036 21441042 27567054 32161563 42882084 55134108 64323126 96484689 128646252 192969378 385938756