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3104400000 = 2735513199
BaseRepresentation
bin1011100100001001…
…0110001010000000
322000100110212012210
42321002112022000
522324211300000
61232014022120
7136633651602
oct27102261200
98010425183
103104400000
111353397739
127277a7940
133a62089a0
14216421172
15132817350
hexb9096280

3104400000 has 384 divisors, whose sum is σ = 11155536000. Its totient is φ = 760320000.

The previous prime is 3104399959. The next prime is 3104400001. The reversal of 3104400000 is 44013.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3104400001) by changing a digit.

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, 15599901 + ... + 15600099.

It is an arithmetic number, because the mean of its divisors is an integer number (29050875).

Almost surely, 23104400000 is an apocalyptic number.

3104400000 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 3104400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577768000).

3104400000 is an abundant number, since it is smaller than the sum of its proper divisors (8051136000).

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

3104400000 is an equidigital number, since it uses as much as digits as its factorization.

3104400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3104400000 is about 55717.1427838865. The cubic root of 3104400000 is about 1458.7892633399.

Adding to 3104400000 its reverse (44013), we get a palindrome (3104444013).

The spelling of 3104400000 in words is "three billion, one hundred four million, four hundred thousand".