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3430125020 = 2257175371383
BaseRepresentation
bin1100110001110011…
…1000110111011100
322212001101101221102
43030130320313130
524011103000040
61324211252232
7151000403330
oct31434706734
98761341842
103430125020
111500241773
127b88aa078
1342884299a
142477ad7c0
15151208515
hexcc738ddc

3430125020 has 192 divisors, whose sum is σ = 9029615616. Its totient is φ = 1067888640.

The previous prime is 3430125019. The next prime is 3430125047. The reversal of 3430125020 is 205210343.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3430124983 and 3430125001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8955749 + ... + 8956131.

It is an arithmetic number, because the mean of its divisors is an integer number (47029248).

Almost surely, 23430125020 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 3430125020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514807808).

3430125020 is an abundant number, since it is smaller than the sum of its proper divisors (5599490596).

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

3430125020 is a wasteful number, since it uses less digits than its factorization.

3430125020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3430125020 is about 58567.2691868077. The cubic root of 3430125020 is about 1508.1226057538.

Adding to 3430125020 its reverse (205210343), we get a palindrome (3635335363).

The spelling of 3430125020 in words is "three billion, four hundred thirty million, one hundred twenty-five thousand, twenty".