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3427159680 = 27335729977
BaseRepresentation
bin1100110001000110…
…0100111010000000
322211211210202021000
43030101210322000
524004323102210
61324023532000
7150633243120
oct31421447200
98754722230
103427159680
1114a95a687a
127b78ba000
13428045049
1424723ac80
15150d1eac0
hexcc464e80

3427159680 has 512 divisors, whose sum is σ = 14364864000. Its totient is φ = 755564544.

The previous prime is 3427159663. The next prime is 3427159753. The reversal of 3427159680 is 869517243.

3427159680 is a `hidden beast` number, since 34 + 27 + 1 + 596 + 8 + 0 = 666.

3427159680 is digitally balanced in base 10, 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 (45).

3427159680 is strictly pandigital in base 10.

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, 3507352 + ... + 3508328.

It is an arithmetic number, because the mean of its divisors is an integer number (28056375).

It is a 1-persistent number, because it is pandigital, but 2⋅3427159680 = 6854319360 is not.

Almost surely, 23427159680 is an apocalyptic number.

3427159680 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 3427159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182432000).

3427159680 is an abundant number, since it is smaller than the sum of its proper divisors (10937704320).

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

3427159680 is a wasteful number, since it uses less digits than its factorization.

3427159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3427159680 is about 58541.9480372835. The cubic root of 3427159680 is about 1507.6878902465.

The spelling of 3427159680 in words is "three billion, four hundred twenty-seven million, one hundred fifty-nine thousand, six hundred eighty".