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3423458304 = 2103373192
BaseRepresentation
bin1100110000001101…
…1101010000000000
322211120211200221000
43030003131100000
524002401131204
61323412332000
7150556626000
oct31403352000
98746750830
103423458304
1114a74a8992
127b6614000
1342734a396
14246956000
1515083d039
hexcc0dd400

3423458304 has 528 divisors, whose sum is σ = 12478512000. Its totient is φ = 926650368.

The previous prime is 3423458243. The next prime is 3423458321. The reversal of 3423458304 is 4038543243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3423458304 is a `hidden beast` number, since 3 + 4 + 2 + 345 + 8 + 304 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180182007 + ... + 180182025.

Almost surely, 23423458304 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 3423458304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239256000).

3423458304 is an abundant number, since it is smaller than the sum of its proper divisors (9055053696).

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

3423458304 is an equidigital number, since it uses as much as digits as its factorization.

3423458304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3423458304 is about 58510.3264731962. The cubic root of 3423458304 is about 1507.1449207021.

The spelling of 3423458304 in words is "three billion, four hundred twenty-three million, four hundred fifty-eight thousand, three hundred four".