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4314144 = 25344939
BaseRepresentation
bin10000011101010000100000
322010011220010
4100131100200
52101023034
6232244520
751445452
oct20352040
98104803
104314144
11248730a
121540740
13b80863
148042d2
155a33e9
hex41d420

4314144 has 24 divisors (see below), whose sum is σ = 11324880. Its totient is φ = 1438016.

The previous prime is 4314119. The next prime is 4314169. The reversal of 4314144 is 4414134.

It is an interprime number because it is at equal distance from previous prime (4314119) and next prime (4314169).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×43141442 = 37223676905472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4314144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22374 + ... + 22565.

It is an arithmetic number, because the mean of its divisors is an integer number (471870).

Almost surely, 24314144 is an apocalyptic number.

It is an amenable number.

4314144 is an abundant number, since it is smaller than the sum of its proper divisors (7010736).

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

4314144 is a wasteful number, since it uses less digits than its factorization.

4314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44952 (or 44944 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 4314144 is about 2077.0517566975. The cubic root of 4314144 is about 162.7914328409.

Adding to 4314144 its reverse (4414134), we get a palindrome (8728278).

The spelling of 4314144 in words is "four million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 44939 89878 134817 179756 269634 359512 539268 719024 1078536 1438048 2157072 4314144