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3423915900 = 22335219312153
BaseRepresentation
bin1100110000010100…
…1100111101111100
322211121200221122000
43030011030331330
524003010302100
61323430222300
7150563543046
oct31405147574
98747627560
103423915900
1114a7790769
127b67b4990
1342747a752
14246a34a96
151508cd900
hexcc14cf7c

3423915900 has 288 divisors, whose sum is σ = 11965900800. Its totient is φ = 836697600.

The previous prime is 3423915899. The next prime is 3423915947. The reversal of 3423915900 is 95193243.

It is a happy number.

3423915900 is a `hidden beast` number, since 34 + 2 + 39 + 1 + 590 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1589224 + ... + 1591376.

Almost surely, 23423915900 is an apocalyptic number.

3423915900 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 3423915900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982950400).

3423915900 is an abundant number, since it is smaller than the sum of its proper divisors (8541984900).

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

3423915900 is a wasteful number, since it uses less digits than its factorization.

3423915900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3423915900 is about 58514.2367291927. The cubic root of 3423915900 is about 1507.2120684711.

The spelling of 3423915900 in words is "three billion, four hundred twenty-three million, nine hundred fifteen thousand, nine hundred".