Search a number
-
+
3304334430040 = 235721661544813
BaseRepresentation
bin110000000101011001101…
…011100000111101011000
3102200220001202012011102011
4300011121223200331120
5413114234103230130
611005553522315304
7460505326141630
oct60053153407530
912626052164364
103304334430040
1110643a6707466
1245449aab8b34
131ac79c6444c7
14b5d059656c0
155ae476d852a
hex30159ae0f58

3304334430040 has 64 divisors (see below), whose sum is σ = 8497267824960. Its totient is φ = 1132860280320.

The previous prime is 3304334430029. The next prime is 3304334430077. The reversal of 3304334430040 is 400344334033.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3304334429984 and 3304334430011.

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 15 ways as a sum of consecutive naturals, for example, 5792674 + ... + 6337486.

It is an arithmetic number, because the mean of its divisors is an integer number (132769809765).

Almost surely, 23304334430040 is an apocalyptic number.

It is an amenable number.

3304334430040 is an abundant number, since it is smaller than the sum of its proper divisors (5192933394920).

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

3304334430040 is a wasteful number, since it uses less digits than its factorization.

3304334430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566492 (or 566488 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 31.

Adding to 3304334430040 its reverse (400344334033), we get a palindrome (3704678764073).

The spelling of 3304334430040 in words is "three trillion, three hundred four billion, three hundred thirty-four million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 21661 43322 86644 108305 151627 173288 216610 303254 433220 544813 606508 758135 866440 1089626 1213016 1516270 2179252 2724065 3032540 3813691 4358504 5448130 6065080 7627382 10896260 15254764 19068455 21792520 30509528 38136910 76273820 152547640 11801194393 23602388786 47204777572 59005971965 82608360751 94409555144 118011943930 165216721502 236023887860 330433443004 413041803755 472047775720 660866886008 826083607510 1652167215020 3304334430040