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3425060800 = 265273792
BaseRepresentation
bin1100110000100110…
…0100011111000000
322211200212010010201
43030021210133000
524003303421200
61323510534544
7150606352000
oct31411443700
98750763121
103425060800
1114a83a2967
127b7067454
1342778b8c5
14246c52000
15150a57c6a
hexcc2647c0

3425060800 has 252 divisors, whose sum is σ = 9954310800. Its totient is φ = 1159441920.

The previous prime is 3425060759. The next prime is 3425060827. The reversal of 3425060800 is 80605243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43355161 + ... + 43355239.

Almost surely, 23425060800 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 3425060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977155400).

3425060800 is an abundant number, since it is smaller than the sum of its proper divisors (6529250000).

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

3425060800 is an frugal number, since it uses more digits than its factorization.

3425060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3425060800 is about 58524.0190007487. The cubic root of 3425060800 is about 1507.3800452210.

Multiplying 3425060800 by its sum of digits (28), we get a square (95901702400 = 3096802).

3425060800 divided by its sum of digits (28) gives a square (122323600 = 110602).

The spelling of 3425060800 in words is "three billion, four hundred twenty-five million, sixty thousand, eight hundred".