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3427174080 = 2632511251431
BaseRepresentation
bin1100110001000110…
…1000011011000000
322211211211111000100
43030101220123000
524004324032310
61324024122400
7150633333111
oct31421503300
98754744010
103427174080
1114a9606680
127b7906400
1342804b775
14247242208
15150d23ec0
hexcc4686c0

3427174080 has 336 divisors, whose sum is σ = 12940881408. Its totient is φ = 825600000.

The previous prime is 3427174043. The next prime is 3427174081. The reversal of 3427174080 is 804717243.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3427174081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7951465 + ... + 7951895.

It is an arithmetic number, because the mean of its divisors is an integer number (38514528).

Almost surely, 23427174080 is an apocalyptic number.

3427174080 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 3427174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470440704).

3427174080 is an abundant number, since it is smaller than the sum of its proper divisors (9513707328).

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

3427174080 is a wasteful number, since it uses less digits than its factorization.

3427174080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3427174080 is about 58542.0710258870. The cubic root of 3427174080 is about 1507.6900018760.

The spelling of 3427174080 in words is "three billion, four hundred twenty-seven million, one hundred seventy-four thousand, eighty".