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3341246436224 = 27311811464963
BaseRepresentation
bin110000100111110001110…
…011101001001110000000
3102211102100012122100202022
4300213301303221032000
5414220333041424344
611034540350541012
7463253126051204
oct60476163511600
912742305570668
103341246436224
111079018563aa4
1245b680807768
131b3102a13798
14b7a07d82b04
155bda80490ee
hex309f1ce9380

3341246436224 has 64 divisors (see below), whose sum is σ = 6874920506880. Its totient is φ = 1615835942400.

The previous prime is 3341246436173. The next prime is 3341246436233. The reversal of 3341246436224 is 4226346421433.

It is a happy number.

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

It is a super-2 number, since 2×33412464362242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6953567 + ... + 7418529.

It is an arithmetic number, because the mean of its divisors is an integer number (107420632920).

Almost surely, 23341246436224 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 3341246436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437460253440).

3341246436224 is an abundant number, since it is smaller than the sum of its proper divisors (3533674070656).

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

3341246436224 is a wasteful number, since it uses less digits than its factorization.

3341246436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466819 (or 466807 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 44.

The spelling of 3341246436224 in words is "three trillion, three hundred forty-one billion, two hundred forty-six million, four hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1811 1984 3622 3968 7244 14488 28976 56141 57952 112282 115904 224564 231808 449128 464963 898256 929926 1796512 1859852 3593024 3719704 7186048 7439408 14413853 14878816 28827706 29757632 57655412 59515264 115310824 230621648 461243296 842047993 922486592 1684095986 1844973184 3368191972 6736383944 13472767888 26103487783 26945535776 52206975566 53891071552 104413951132 107782143104 208827902264 417655804528 835311609056 1670623218112 3341246436224