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3129041916 = 223271113312801
BaseRepresentation
bin1011101010000001…
…0110001111111100
322002001211210120100
42322200112033330
522402013320131
61234254121100
7140353263120
oct27240261774
98061753510
103129041916
111366298560
12733ab0190
133ab355bc0
142197d7580
15134a837e6
hexba8163fc

3129041916 has 288 divisors, whose sum is σ = 10966265856. Its totient is φ = 725760000.

The previous prime is 3129041893. The next prime is 3129041941. The reversal of 3129041916 is 6191409213.

It is a happy number.

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, 1115716 + ... + 1118516.

It is an arithmetic number, because the mean of its divisors is an integer number (38077312).

Almost surely, 23129041916 is an apocalyptic number.

3129041916 is a gapful number since it is divisible by the number (36) 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 3129041916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483132928).

3129041916 is an abundant number, since it is smaller than the sum of its proper divisors (7837223940).

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

3129041916 is a wasteful number, since it uses less digits than its factorization.

3129041916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3129041916 is about 55937.8397509235. The cubic root of 3129041916 is about 1462.6389246947.

The spelling of 3129041916 in words is "three billion, one hundred twenty-nine million, forty-one thousand, nine hundred sixteen".