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3345045024 = 25341907937
BaseRepresentation
bin1100011101100001…
…0101011000100000
322122010021220010110
43013120111120200
523322312420044
61311531531320
7145615261566
oct30730253040
98563256113
103345045024
111467210922
127942b9b40
134140242a9
1423a383a36
151489ee6b9
hexc7615620

3345045024 has 96 divisors (see below), whose sum is σ = 9014435136. Its totient is φ = 1085460480.

The previous prime is 3345045007. The next prime is 3345045047. The reversal of 3345045024 is 4205405433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33450450242 = 22378652425174321152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3345044982 and 3345045000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3569484 + ... + 3570420.

It is an arithmetic number, because the mean of its divisors is an integer number (93900366).

Almost surely, 23345045024 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 3345045024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507217568).

3345045024 is an abundant number, since it is smaller than the sum of its proper divisors (5669390112).

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

3345045024 is a wasteful number, since it uses less digits than its factorization.

3345045024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3345045024 is about 57836.3642010803. The cubic root of 3345045024 is about 1495.5490314271.

The spelling of 3345045024 in words is "three billion, three hundred forty-five million, forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 907 937 984 1312 1814 1874 1968 2721 2811 3628 3748 3936 5442 5622 7256 7496 10884 11244 14512 14992 21768 22488 29024 29984 37187 38417 43536 44976 74374 76834 87072 89952 111561 115251 148748 153668 223122 230502 297496 307336 446244 461004 594992 614672 849859 892488 922008 1189984 1229344 1699718 1784976 1844016 2549577 3399436 3569952 3688032 5099154 6798872 10198308 13597744 20396616 27195488 34844219 40793232 69688438 81586464 104532657 139376876 209065314 278753752 418130628 557507504 836261256 1115015008 1672522512 3345045024