Search a number
-
+
384124020 = 22357914581
BaseRepresentation
bin10110111001010…
…100010001110100
3222202210112002120
4112321110101310
51241313432040
6102041035540
712343000050
oct2671242164
9882715076
10384124020
11187912075
12a8785bb0
1361773327
1439030c60
1523ac97d0
hex16e54474

384124020 has 48 divisors (see below), whose sum is σ = 1229198208. Its totient is φ = 87799680.

The previous prime is 384124003. The next prime is 384124021. The reversal of 384124020 is 20421483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384124021) 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, 456871 + ... + 457710.

It is an arithmetic number, because the mean of its divisors is an integer number (25608296).

Almost surely, 2384124020 is an apocalyptic number.

384124020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384124020 is an abundant number, since it is smaller than the sum of its proper divisors (845074188).

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

384124020 is a wasteful number, since it uses less digits than its factorization.

384124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914600 (or 914598 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 384124020 is about 19599.0821213648. The cubic root of 384124020 is about 726.9264784658.

The spelling of 384124020 in words is "three hundred eighty-four million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 914581 1829162 2743743 3658324 4572905 5487486 6402067 9145810 10974972 12804134 13718715 18291620 19206201 25608268 27437430 32010335 38412402 54874860 64020670 76824804 96031005 128041340 192062010 384124020