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3454227840 = 27357432139
BaseRepresentation
bin1100110111100011…
…0101010110000000
322220201201221210110
43031320311112000
524033240242330
61330432031320
7151412311050
oct31570652600
98821657713
103454227840
111512904558
12804992540
134308316cb
1424aa85560
151533b9db0
hexcde35580

3454227840 has 384 divisors, whose sum is σ = 12975379200. Its totient is φ = 765628416.

The previous prime is 3454227811. The next prime is 3454227857. The reversal of 3454227840 is 487224543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24850491 + ... + 24850629.

It is an arithmetic number, because the mean of its divisors is an integer number (33790050).

Almost surely, 23454227840 is an apocalyptic number.

3454227840 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 3454227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487689600).

3454227840 is an abundant number, since it is smaller than the sum of its proper divisors (9521151360).

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

3454227840 is a wasteful number, since it uses less digits than its factorization.

3454227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 3454227840 is about 58772.6793672026. The cubic root of 3454227840 is about 1511.6467918835.

The spelling of 3454227840 in words is "three billion, four hundred fifty-four million, two hundred twenty-seven thousand, eight hundred forty".