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384343488 = 2633972293
BaseRepresentation
bin10110111010001…
…001110111000000
3222210012200011000
4112322021313000
51241342442423
6102045452000
712344602644
oct2672116700
9883180130
10384343488
11187a51a51
12a8871000
136181c1a9
143908ac24
1523b1e843
hex16e89dc0

384343488 has 112 divisors (see below), whose sum is σ = 1142044960. Its totient is φ = 126738432.

The previous prime is 384343451. The next prime is 384343489. The reversal of 384343488 is 884343483.

It is a super-2 number, since 2×3843434882 = 295439833536012288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384343489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166470 + ... + 168762.

It is an arithmetic number, because the mean of its divisors is an integer number (10196830).

Almost surely, 2384343488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384343488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571022480).

384343488 is an abundant number, since it is smaller than the sum of its proper divisors (757701472).

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

384343488 is a wasteful number, since it uses less digits than its factorization.

384343488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2395 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 384343488 is about 19604.6802575303. The cubic root of 384343488 is about 727.0648944617.

The spelling of 384343488 in words is "three hundred eighty-four million, three hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 144 192 194 216 288 291 388 432 576 582 776 864 873 1164 1552 1728 1746 2293 2328 2619 3104 3492 4586 4656 5238 6208 6879 6984 9172 9312 10476 13758 13968 18344 18624 20637 20952 27516 27936 36688 41274 41904 55032 55872 61911 73376 82548 83808 110064 123822 146752 165096 167616 220128 222421 247644 330192 440256 444842 495288 660384 667263 889684 990576 1320768 1334526 1779368 1981152 2001789 2669052 3558736 3962304 4003578 5338104 6005367 7117472 8007156 10676208 12010734 14234944 16014312 21352416 24021468 32028624 42704832 48042936 64057248 96085872 128114496 192171744 384343488