Search a number
-
+
386117640 = 233254324943
BaseRepresentation
bin10111000000111…
…011000000001000
3222220112210211100
4113000323000020
51242321231030
6102151501400
712365642256
oct2700730010
9886483740
10386117640
11188a53997
12a9387860
1361cc089c
14393cd5d6
1523d70360
hex1703b008

386117640 has 96 divisors (see below), whose sum is σ = 1284117120. Its totient is φ = 100566144.

The previous prime is 386117609. The next prime is 386117713. The reversal of 386117640 is 46711683.

386117640 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 1 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 386117595 and 386117604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3009 + ... + 27951.

It is an arithmetic number, because the mean of its divisors is an integer number (13376220).

Almost surely, 2386117640 is an apocalyptic number.

386117640 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 386117640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642058560).

386117640 is an abundant number, since it is smaller than the sum of its proper divisors (897999480).

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

386117640 is a wasteful number, since it uses less digits than its factorization.

386117640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25003 (or 24996 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 386117640 is about 19649.8763354887. The cubic root of 386117640 is about 728.1819021762.

The spelling of 386117640 in words is "three hundred eighty-six million, one hundred seventeen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 15480 24943 49886 74829 99772 124715 149658 199544 224487 249430 299316 374145 448974 498860 598632 748290 897948 997720 1072549 1122435 1496580 1795896 2145098 2244870 2993160 3217647 4290196 4489740 5362745 6435294 8580392 8979480 9652941 10725490 12870588 16088235 19305882 21450980 25741176 32176470 38611764 42901960 48264705 64352940 77223528 96529410 128705880 193058820 386117640