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3688143408 = 243331275399
BaseRepresentation
bin1101101111010100…
…1001101000110000
3100112000220002122000
43123311021220300
530023131042113
61405545414000
7160252462455
oct33365115060
910460802560
103688143408
111622951804
1286b19a300
1346a131ca1
1426db7582c
15168bc3373
hexdbd49a30

3688143408 has 80 divisors (see below), whose sum is σ = 10927872000. Its totient is φ = 1189719360.

The previous prime is 3688143391. The next prime is 3688143419. The reversal of 3688143408 is 8043418863.

3688143408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 124308 + ... + 151091.

It is an arithmetic number, because the mean of its divisors is an integer number (136598400).

Almost surely, 23688143408 is an apocalyptic number.

It is an amenable number.

3688143408 is an abundant number, since it is smaller than the sum of its proper divisors (7239728592).

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

3688143408 is a wasteful number, since it uses less digits than its factorization.

3688143408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275447 (or 275435 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3688143408 is about 60730.0865140171. The cubic root of 3688143408 is about 1545.0265015720.

The spelling of 3688143408 in words is "three billion, six hundred eighty-eight million, one hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 275399 550798 826197 1101596 1652394 2203192 2478591 3304788 4406384 4957182 6609576 7435773 8537369 9914364 13219152 14871546 17074738 19828728 25612107 29743092 34149476 39657456 51224214 59486184 68298952 76836321 102448428 118972368 136597904 153672642 204896856 230508963 307345284 409793712 461017926 614690568 922035852 1229381136 1844071704 3688143408