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388069416 = 233272293793
BaseRepresentation
bin10111001000010…
…111100000101000
31000001012222011100
4113020113200220
51243321210131
6102301401400
712421351500
oct2710274050
91001188140
10388069416
1118a067329
12a9b69260
1362525097
143977aa00
15241087e6
hex17217828

388069416 has 144 divisors (see below), whose sum is σ = 1265109300. Its totient is φ = 107025408.

The previous prime is 388069397. The next prime is 388069447. The reversal of 388069416 is 614960883.

It can be written as a sum of positive squares in 2 ways, for example, as 378146916 + 9922500 = 19446^2 + 3150^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100416 + ... + 104208.

Almost surely, 2388069416 is an apocalyptic number.

388069416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388069416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632554650).

388069416 is an abundant number, since it is smaller than the sum of its proper divisors (877039884).

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

388069416 is a wasteful number, since it uses less digits than its factorization.

388069416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 388069416 is about 19699.4775565242. The cubic root of 388069416 is about 729.4067965027.

The spelling of 388069416 in words is "three hundred eighty-eight million, sixty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 252 261 294 348 392 406 441 504 522 588 609 696 812 882 1044 1176 1218 1421 1624 1764 1827 2088 2436 2842 3528 3654 3793 4263 4872 5684 7308 7586 8526 11368 11379 12789 14616 15172 17052 22758 25578 26551 30344 34104 34137 45516 51156 53102 68274 79653 91032 102312 106204 109997 136548 159306 185857 212408 219994 238959 273096 318612 329991 371714 439988 477918 557571 637224 659982 743428 769979 879976 955836 989973 1115142 1319964 1486856 1539958 1672713 1911672 1979946 2230284 2309937 2639928 3079916 3345426 3959892 4460568 4619874 5389853 6159832 6690852 6929811 7919784 9239748 10779706 13381704 13859622 16169559 18479496 21559412 27719244 32339118 43118824 48508677 55438488 64678236 97017354 129356472 194034708 388069416