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3443114000 = 24531721557
BaseRepresentation
bin1100110100111001…
…1100000000010000
322212221211022110202
43031032130000100
524022414122000
61325353514332
7151215662144
oct31516340020
98787738422
103443114000
111507603567
128011129a8
1342b43cb81
142493d1224
15152421dd5
hexcd39c010

3443114000 has 40 divisors (see below), whose sum is σ = 8325454488. Its totient is φ = 1377244800.

The previous prime is 3443113991. The next prime is 3443114009. The reversal of 3443114000 is 4113443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3443113991) and next prime (3443114009).

It can be written as a sum of positive squares in 4 ways, for example, as 77721856 + 3365392144 = 8816^2 + 58012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3443114009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858779 + ... + 862778.

Almost surely, 23443114000 is an apocalyptic number.

It is an amenable number.

3443114000 is an abundant number, since it is smaller than the sum of its proper divisors (4882340488).

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

3443114000 is a wasteful number, since it uses less digits than its factorization.

3443114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721580 (or 1721564 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3443114000 is about 58678.0538191239. The cubic root of 3443114000 is about 1510.0238289882.

Adding to 3443114000 its reverse (4113443), we get a palindrome (3447227443).

The spelling of 3443114000 in words is "three billion, four hundred forty-three million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1721557 3443114 6886228 8607785 13772456 17215570 27544912 34431140 43038925 68862280 86077850 137724560 172155700 215194625 344311400 430389250 688622800 860778500 1721557000 3443114000