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3423971304 = 23331319292213
BaseRepresentation
bin1100110000010101…
…1010011111101000
322211121210202122000
43030011122133220
524003014040204
61323431331000
7150564163425
oct31405323750
98747722560
103423971304
1114a7819356
127b6820a60
13427499a30
14246a4ad4c
151508e0039
hexcc15a7e8

3423971304 has 256 divisors, whose sum is σ = 11158560000. Its totient is φ = 963228672.

The previous prime is 3423971279. The next prime is 3423971347. The reversal of 3423971304 is 4031793243.

3423971304 is a `hidden beast` number, since 342 + 3 + 9 + 7 + 1 + 304 = 666.

3423971304 is digitally balanced in base 2 and base 4, because in such bases 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1546102 + ... + 1548314.

It is an arithmetic number, because the mean of its divisors is an integer number (43588125).

Almost surely, 23423971304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423971304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579280000).

3423971304 is an abundant number, since it is smaller than the sum of its proper divisors (7734588696).

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

3423971304 is a wasteful number, since it uses less digits than its factorization.

3423971304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3423971304 is about 58514.7101505254. The cubic root of 3423971304 is about 1507.2201980639.

The spelling of 3423971304 in words is "three billion, four hundred twenty-three million, nine hundred seventy-one thousand, three hundred four".