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3704100314368 = 284324111091259
BaseRepresentation
bin110101111001101101100…
…101010101110100000000
3111010002221010020020002011
4311321231211111310000
5441141444140024433
611513350140502304
7531420026115646
oct65715545256400
914102833206064
103704100314368
1111a899a075233
124b9a6784a994
1320b3ab61215c
14cb3ca9c5196
15665437893cd
hex35e6d955d00

3704100314368 has 144 divisors (see below), whose sum is σ = 7609961620800. Its totient is φ = 1798419087360.

The previous prime is 3704100314279. The next prime is 3704100314393. The reversal of 3704100314368 is 8634130014073.

3704100314368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37041003143682 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3704100314368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2942096523 + ... + 2942097781.

It is an arithmetic number, because the mean of its divisors is an integer number (52846955700).

Almost surely, 23704100314368 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 3704100314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804980810400).

3704100314368 is an abundant number, since it is smaller than the sum of its proper divisors (3905861306432).

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

3704100314368 is a wasteful number, since it uses less digits than its factorization.

3704100314368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 3704100314368 in words is "three trillion, seven hundred four billion, one hundred million, three hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 241 256 344 482 688 964 1109 1259 1376 1928 2218 2518 2752 3856 4436 5036 5504 7712 8872 10072 10363 11008 15424 17744 20144 20726 30848 35488 40288 41452 47687 54137 61696 70976 80576 82904 95374 108274 141952 161152 165808 190748 216548 267269 283904 303419 322304 331616 381496 433096 534538 606838 663232 762992 866192 1069076 1213676 1326464 1396231 1525984 1732384 2138152 2427352 2652928 2792462 3051968 3464768 4276304 4854704 5584924 6103936 6929536 8552608 9709408 11169848 11492567 12207872 13047017 13859072 17105216 19418816 22339696 22985134 26094034 34210432 38837632 44679392 45970268 52188068 60037933 68420864 77675264 89358784 91940536 104376136 120075866 178717568 183881072 208752272 240151732 336491671 357435136 367762144 417504544 480303464 672983342 735524288 835009088 960606928 1345966684 1471048576 1670018176 1921213856 2691933368 2942097152 3340036352 3842427712 5383866736 7684855424 10767733472 14469141853 15369710848 21535466944 28938283706 43070933888 57876567412 86141867776 115753134824 231506269648 463012539296 926025078592 1852050157184 3704100314368