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3103083984 = 243711131729131
BaseRepresentation
bin1011100011110101…
…0100110111010000
322000020222222222110
42320331110313100
522323342141414
61231525505320
7136616531040
oct27075246720
98006888873
103103083984
111352678a20
12727272240
133a5b67990
1421619b720
15132657459
hexb8f54dd0

3103083984 has 640 divisors, whose sum is σ = 11879239680. Its totient is φ = 670924800.

The previous prime is 3103083887. The next prime is 3103083989. The reversal of 3103083984 is 4893803013.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3103083989) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 23687599 + ... + 23687729.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 23103083984 is an apocalyptic number.

3103083984 is a gapful number since it is divisible by the number (34) 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 3103083984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939619840).

3103083984 is an abundant number, since it is smaller than the sum of its proper divisors (8776155696).

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

3103083984 is a wasteful number, since it uses less digits than its factorization.

3103083984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3103083984 is about 55705.3317376353. The cubic root of 3103083984 is about 1458.5830977519.

Adding to 3103083984 its reverse (4893803013), we get a palindrome (7996886997).

The spelling of 3103083984 in words is "three billion, one hundred three million, eighty-three thousand, nine hundred eighty-four".