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388082097 = 34134189101
BaseRepresentation
bin10111001000011…
…010100110110001
31000001020121120000
4113020122212301
51243322111342
6102301540213
712421433454
oct2710324661
91001217500
10388082097
1118a075907
12a9b74669
136252aaa0
143978149b
152410c44c
hex1721a9b1

388082097 has 80 divisors (see below), whose sum is σ = 653138640. Its totient is φ = 228096000.

The previous prime is 388082083. The next prime is 388082099. The reversal of 388082097 is 790280883.

It can be written as a sum of positive squares in 8 ways, for example, as 45684081 + 342398016 = 6759^2 + 18504^2 .

It is not a de Polignac number, because 388082097 - 24 = 388082081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (388082099) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3842347 + ... + 3842447.

It is an arithmetic number, because the mean of its divisors is an integer number (8164233).

Almost surely, 2388082097 is an apocalyptic number.

It is an amenable number.

388082097 is a deficient number, since it is larger than the sum of its proper divisors (265056543).

388082097 is a wasteful number, since it uses less digits than its factorization.

388082097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 388082097 is about 19699.7994152225. The cubic root of 388082097 is about 729.4147413930.

The spelling of 388082097 in words is "three hundred eighty-eight million, eighty-two thousand, ninety-seven".

Divisors: 1 3 9 13 27 39 41 81 89 101 117 123 267 303 351 369 533 801 909 1053 1107 1157 1313 1599 2403 2727 3321 3471 3649 3939 4141 4797 7209 8181 8989 10413 10947 11817 12423 14391 26967 31239 32841 35451 37269 43173 47437 53833 80901 93717 98523 106353 111807 116857 142311 161499 242703 295569 335421 350571 368549 426933 484497 728109 1051713 1105647 1280799 1453491 3155139 3316941 3842397 4360473 4791137 9465417 9950823 14373411 29852469 43120233 129360699 388082097