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3420340000 = 25547112221
BaseRepresentation
bin1100101111011110…
…0011111100100000
322211100222021102021
43023313203330200
524001101340000
61323221431224
7150521260510
oct31367437440
98740867367
103420340000
1114a5769080
127b556b514
134267c7c2c
14246383840
1515042411a
hexcbde3f20

3420340000 has 240 divisors, whose sum is σ = 10495590336. Its totient is φ = 1065600000.

The previous prime is 3420339991. The next prime is 3420340031. The reversal of 3420340000 is 430243.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1538890 + ... + 1541110.

Almost surely, 23420340000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247795168).

3420340000 is an abundant number, since it is smaller than the sum of its proper divisors (7075250336).

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

3420340000 is a wasteful number, since it uses less digits than its factorization.

3420340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3420340000 is about 58483.6729352731. The cubic root of 3420340000 is about 1506.6871804797.

Adding to 3420340000 its reverse (430243), we get a palindrome (3420770243).

The spelling of 3420340000 in words is "three billion, four hundred twenty million, three hundred forty thousand".