Search a number
-
+
380000946 = 231359711163
BaseRepresentation
bin10110101001100…
…101101010110010
3222111001001022010
4112221211222302
51234240012241
6101412423350
712262645323
oct2651455262
9874031263
10380000946
11185556376
12a7317b56
136095b740
143867a44a
1523562d16
hex16a65ab2

380000946 has 64 divisors (see below), whose sum is σ = 844784640. Its totient is φ = 113225280.

The previous prime is 380000921. The next prime is 380000953. The reversal of 380000946 is 649000083.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326161 + ... + 327323.

It is an arithmetic number, because the mean of its divisors is an integer number (13199760).

Almost surely, 2380000946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380000946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422392320).

380000946 is an abundant number, since it is smaller than the sum of its proper divisors (464783694).

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

380000946 is a wasteful number, since it uses less digits than its factorization.

380000946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 380000946 is about 19493.6129539909. The cubic root of 380000946 is about 724.3162453986.

The spelling of 380000946 in words is "three hundred eighty million, nine hundred forty-six", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 59 71 78 118 142 177 213 354 426 767 923 1163 1534 1846 2301 2326 2769 3489 4189 4602 5538 6978 8378 12567 15119 25134 30238 45357 54457 68617 82573 90714 108914 137234 163371 165146 205851 247719 326742 411702 495438 892021 1073449 1784042 2146898 2676063 3220347 4871807 5352126 6440694 9743614 14615421 29230842 63333491 126666982 190000473 380000946