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3340113024 = 27335924229
BaseRepresentation
bin1100011100010110…
…0001010010000000
322121210000022200210
43013011201102000
523320032104044
61311234114120
7145525330563
oct30705412200
98553008623
103340113024
111464452396
1279271b940
13412cb8451
1423985c4da
151483781b9
hexc7161480

3340113024 has 64 divisors (see below), whose sum is σ = 8897256000. Its totient is φ = 1110223872.

The previous prime is 3340113001. The next prime is 3340113031. The reversal of 3340113024 is 4203110433.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33401130242 = 22312710026188849152, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 125742 + ... + 149970.

It is an arithmetic number, because the mean of its divisors is an integer number (139019625).

Almost surely, 23340113024 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 3340113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448628000).

3340113024 is an abundant number, since it is smaller than the sum of its proper divisors (5557142976).

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

3340113024 is a wasteful number, since it uses less digits than its factorization.

3340113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24605 (or 24593 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3340113024 is about 57793.7109381289. The cubic root of 3340113024 is about 1494.8136476109.

Adding to 3340113024 its reverse (4203110433), we get a palindrome (7543223457).

The spelling of 3340113024 in words is "three billion, three hundred forty million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 359 384 718 1077 1436 2154 2872 4308 5744 8616 11488 17232 22976 24229 34464 45952 48458 68928 72687 96916 137856 145374 193832 290748 387664 581496 775328 1162992 1550656 2325984 3101312 4651968 8698211 9303936 17396422 26094633 34792844 52189266 69585688 104378532 139171376 208757064 278342752 417514128 556685504 835028256 1113371008 1670056512 3340113024