Search a number
-
+
385491900 = 223523734729
BaseRepresentation
bin10110111110100…
…010001110111100
3222212101000110210
4112332202032330
51242141220100
6102130232420
712360425043
oct2676421674
9885330423
10385491900
11188666852
12a9125710
1361b31b21
14392a955a
1523c99c50
hex16fa23bc

385491900 has 72 divisors (see below), whose sum is σ = 1145534320. Its totient is φ = 100016640.

The previous prime is 385491889. The next prime is 385491901. The reversal of 385491900 is 9194583.

385491900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3854919002 = 297208009931220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385491901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6265 + ... + 28464.

Almost surely, 2385491900 is an apocalyptic number.

385491900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385491900 is an abundant number, since it is smaller than the sum of its proper divisors (760042420).

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

385491900 is a wasteful number, since it uses less digits than its factorization.

385491900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34783 (or 34776 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 385491900 is about 19633.9476417760. The cubic root of 385491900 is about 727.7883270403.

The spelling of 385491900 in words is "three hundred eighty-five million, four hundred ninety-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 34729 69458 104187 138916 173645 208374 347290 416748 520935 694580 868225 1041870 1284973 1736450 2083740 2569946 2604675 3472900 3854919 5139892 5209350 6424865 7709838 10418700 12849730 15419676 19274595 25699460 32124325 38549190 64248650 77098380 96372975 128497300 192745950 385491900