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3441214140 = 22357213179503
BaseRepresentation
bin1100110100011100…
…1100001010111100
322212211020210100120
43031013030022330
524021422323030
61325245054540
7151163560200
oct31507141274
98784223316
103441214140
111506526131
12800557450
1342ac261b0
14249058b00
15152199010
hexcd1cc2bc

3441214140 has 288 divisors, whose sum is σ = 12162286080. Its totient is φ = 720566784.

The previous prime is 3441214129. The next prime is 3441214151. The reversal of 3441214140 is 414121443.

3441214140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3441214129) and next prime (3441214151).

It is a self number, because there is not a number n which added to its sum of digits gives 3441214140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6841129 + ... + 6841631.

It is an arithmetic number, because the mean of its divisors is an integer number (42230160).

Almost surely, 23441214140 is an apocalyptic number.

3441214140 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 3441214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081143040).

3441214140 is an abundant number, since it is smaller than the sum of its proper divisors (8721071940).

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

3441214140 is a wasteful number, since it uses less digits than its factorization.

3441214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 712 counting only the distinct ones).

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

The square root of 3441214140 is about 58661.8627389209. The cubic root of 3441214140 is about 1509.7460415266.

Adding to 3441214140 its reverse (414121443), we get a palindrome (3855335583).

The spelling of 3441214140 in words is "three billion, four hundred forty-one million, two hundred fourteen thousand, one hundred forty".