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6314000384 = 21912043
BaseRepresentation
bin1011110000101100…
…00000000000000000
3121022000220110020002
411320112000000000
5100412341003014
62522310535132
7312316055246
oct57026000000
917260813202
106314000384
1127500a7a3a
1212826674a8
13798159203
1443c7c8796
1526e4aedde
hex178580000

6314000384 has 40 divisors (see below), whose sum is σ = 12629037300. Its totient is φ = 3156738048.

The previous prime is 6314000359. The next prime is 6314000389. The reversal of 6314000384 is 4830004136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6314000389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518267 + ... + 530309.

Almost surely, 26314000384 is an apocalyptic number.

6314000384 is a gapful number since it is divisible by the number (64) 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 6314000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314518650).

6314000384 is an abundant number, since it is smaller than the sum of its proper divisors (6315036916).

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

6314000384 is an frugal number, since it uses more digits than its factorization.

6314000384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12081 (or 12045 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 6314000384 is about 79460.6845175650. The cubic root of 6314000384 is about 1848.2818607703.

The spelling of 6314000384 in words is "six billion, three hundred fourteen million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 12043 16384 24086 32768 48172 65536 96344 131072 192688 262144 385376 524288 770752 1541504 3083008 6166016 12332032 24664064 49328128 98656256 197312512 394625024 789250048 1578500096 3157000192 6314000384