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3429270000 = 24335413977
BaseRepresentation
bin1100110001100110…
…1000000111110000
322211222202222002000
43030121220013300
524010343120000
61324141054000
7150660212502
oct31431500760
98758688060
103429270000
1114aa808342
127b8557300
13428603760
14247629d72
151510da000
hexcc6681f0

3429270000 has 400 divisors, whose sum is σ = 13259880480. Its totient is φ = 843264000.

The previous prime is 3429269993. The next prime is 3429270023. The reversal of 3429270000 is 729243.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3509512 + ... + 3510488.

Almost surely, 23429270000 is an apocalyptic number.

3429270000 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 3429270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629940240).

3429270000 is an abundant number, since it is smaller than the sum of its proper divisors (9830610480).

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

3429270000 is a wasteful number, since it uses less digits than its factorization.

3429270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3429270000 is about 58559.9692622870. The cubic root of 3429270000 is about 1507.9972864978.

Adding to 3429270000 its reverse (729243), we get a palindrome (3429999243).

The spelling of 3429270000 in words is "three billion, four hundred twenty-nine million, two hundred seventy thousand".