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3405109968 = 243313606323
BaseRepresentation
bin1100101011110101…
…1101101011010000
322210022022111202000
43022331131223100
523433202004333
61321515154000
7150244646211
oct31275355320
98708274660
103405109968
111498106577
127b0445900
134235c4990
1424433b408
1514de16713
hexcaf5dad0

3405109968 has 80 divisors (see below), whose sum is σ = 10525784640. Its totient is φ = 1047724416.

The previous prime is 3405109927. The next prime is 3405109987. The reversal of 3405109968 is 8699015043.

It is a happy number.

3405109968 is a `hidden beast` number, since 3 + 40 + 510 + 9 + 96 + 8 = 666.

It is a super-2 number, since 2×34051099682 = 23189547788345922048, which contains 22 as substring.

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, 297546 + ... + 308777.

It is an arithmetic number, because the mean of its divisors is an integer number (131572308).

Almost surely, 23405109968 is an apocalyptic number.

It is an amenable number.

3405109968 is an abundant number, since it is smaller than the sum of its proper divisors (7120674672).

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

3405109968 is a wasteful number, since it uses less digits than its factorization.

3405109968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606353 (or 606341 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3405109968 is about 58353.3201111985. The cubic root of 3405109968 is about 1504.4475359162.

The spelling of 3405109968 in words is "three billion, four hundred five million, one hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 606323 1212646 1818969 2425292 3637938 4850584 5456907 7275876 7882199 9701168 10913814 14551752 15764398 16370721 21827628 23646597 29103504 31528796 32741442 43655256 47293194 63057592 65482884 70939791 87310512 94586388 126115184 130965768 141879582 189172776 212819373 261931536 283759164 378345552 425638746 567518328 851277492 1135036656 1702554984 3405109968