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3431716740 = 2233529317069
BaseRepresentation
bin1100110010001011…
…1101011110000100
322212011101021101000
43030202331132010
524012004413430
61324305333300
7151020053034
oct31442753604
98764337330
103431716740
111501129641
127b9337230
13428c7c32a
14247aa58c4
1515141ee60
hexcc8bd784

3431716740 has 192 divisors, whose sum is σ = 11402496000. Its totient is φ = 854945280.

The previous prime is 3431716649. The next prime is 3431716753. The reversal of 3431716740 is 476171343.

3431716740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3431716695 and 3431716704.

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, 481926 + ... + 488994.

It is an arithmetic number, because the mean of its divisors is an integer number (59388000).

Almost surely, 23431716740 is an apocalyptic number.

3431716740 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 3431716740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701248000).

3431716740 is an abundant number, since it is smaller than the sum of its proper divisors (7970779260).

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

3431716740 is a wasteful number, since it uses less digits than its factorization.

3431716740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3431716740 is about 58580.8564293831. The cubic root of 3431716740 is about 1508.3558467857.

The spelling of 3431716740 in words is "three billion, four hundred thirty-one million, seven hundred sixteen thousand, seven hundred forty".