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384000000 = 213356
BaseRepresentation
bin10110111000110…
…110000000000000
3222202120012222020
4112320312000000
51241301000000
6102034241440
712341642346
oct2670660000
9882505866
10384000000
1118783797a
12a8726280
136172ba47
1438ddb996
1523aa2ba0
hex16e36000

384000000 has 196 divisors, whose sum is σ = 1279905492. Its totient is φ = 102400000.

The previous prime is 383999983. The next prime is 384000031. The reversal of 384000000 is 483.

It is an ABA number since it can be written as A⋅BA, here for A=6, B=20.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 76799998 + ... + 76800002.

Almost surely, 2384000000 is an apocalyptic number.

384000000 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 384000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639952746).

384000000 is an abundant number, since it is smaller than the sum of its proper divisors (895905492).

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

384000000 is an frugal number, since it uses more digits than its factorization.

384000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 384000000 is about 19595.9179422654. The cubic root of 384000000 is about 726.8482371329.

Multiplying 384000000 by its product of nonzero digits (96), we get a square (36864000000 = 1920002).

384000000 divided by its product of nonzero digits (96) gives a square (4000000 = 20002).

Adding to 384000000 its reverse (483), we get a palindrome (384000483).

The spelling of 384000000 in words is "three hundred eighty-four million", and thus it is an aban number.