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3427374090 = 235721941273
BaseRepresentation
bin1100110001001001…
…1001010000001010
322211212012122101010
43030102121100022
524004401432330
61324032304350
7150635125200
oct31422312012
98755178333
103427374090
1114a9732978
127b79a20b6
134280bb80a
14247295070
15150d633b0
hexcc49940a

3427374090 has 288 divisors, whose sum is σ = 10465364160. Its totient is φ = 714147840.

The previous prime is 3427374089. The next prime is 3427374113. The reversal of 3427374090 is 904737243.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46950294 + ... + 46950366.

It is an arithmetic number, because the mean of its divisors is an integer number (36338070).

Almost surely, 23427374090 is an apocalyptic number.

3427374090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3427374090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232682080).

3427374090 is an abundant number, since it is smaller than the sum of its proper divisors (7037990070).

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

3427374090 is a wasteful number, since it uses less digits than its factorization.

3427374090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 3427374090 is about 58543.7792596276. The cubic root of 3427374090 is about 1507.7193309194.

The spelling of 3427374090 in words is "three billion, four hundred twenty-seven million, three hundred seventy-four thousand, ninety".