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6342144 = 2934129
BaseRepresentation
bin11000001100011000000000
3102221012210020
4120030120000
53110422034
6343533440
7104623134
oct30143000
912835706
106342144
113641a46
12215a280
131410963
14bb13c4
15854249
hex60c600

6342144 has 40 divisors (see below), whose sum is σ = 16899960. Its totient is φ = 2113536.

The previous prime is 6342137. The next prime is 6342157. The reversal of 6342144 is 4412436.

6342144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 529 + ... + 3600.

It is an arithmetic number, because the mean of its divisors is an integer number (422499).

Almost surely, 26342144 is an apocalyptic number.

6342144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6342144 is an abundant number, since it is smaller than the sum of its proper divisors (10557816).

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

6342144 is an equidigital number, since it uses as much as digits as its factorization.

6342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4134 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 6342144 is about 2518.3613720036. The cubic root of 6342144 is about 185.1023927942.

The spelling of 6342144 in words is "six million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 4129 8258 12387 16516 24774 33032 49548 66064 99096 132128 198192 264256 396384 528512 792768 1057024 1585536 2114048 3171072 6342144