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388633245 = 357112132181
BaseRepresentation
bin10111001010100…
…001001010011101
31000002021121120220
4113022201022131
51243442230440
6102321431553
712426220350
oct2712411235
91002247526
10388633245
1118a411a00
12aa19b5b9
1362691900
1439886297
15241ba8d0
hex172a129d

388633245 has 144 divisors (see below), whose sum is σ = 850502016. Its totient is φ = 148262400.

The previous prime is 388633213. The next prime is 388633249. The reversal of 388633245 is 542336883.

It is a happy number.

It is not a de Polignac number, because 388633245 - 25 = 388633213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 388633197 and 388633206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388633249) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2147055 + ... + 2147235.

It is an arithmetic number, because the mean of its divisors is an integer number (5906264).

Almost surely, 2388633245 is an apocalyptic number.

388633245 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

388633245 is an abundant number, since it is smaller than the sum of its proper divisors (461868771).

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

388633245 is a wasteful number, since it uses less digits than its factorization.

388633245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 388633245 is about 19713.7831224755. The cubic root of 388633245 is about 729.7598791160.

The spelling of 388633245 in words is "three hundred eighty-eight million, six hundred thirty-three thousand, two hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 121 143 165 169 181 195 231 273 363 385 429 455 507 543 605 715 845 847 905 1001 1155 1183 1267 1365 1573 1815 1859 1991 2145 2353 2535 2541 2715 3003 3549 3801 4235 4719 5005 5577 5915 5973 6335 7059 7865 9295 9955 11011 11765 12705 13013 13937 15015 16471 17745 19005 20449 21901 23595 25883 27885 29865 30589 33033 35295 39039 41811 49413 55055 61347 65065 65703 69685 77649 82355 91767 102245 109505 129415 143143 152945 153307 165165 181181 195195 209055 214123 247065 284713 306735 328515 336479 388245 429429 458835 459921 543543 642369 715715 766535 854139 905905 1009437 1070615 1423565 1682395 1992991 2147145 2299605 2355353 2717715 3211845 3701269 4270695 5047185 5978973 7066059 9964955 11103807 11776765 18506345 25908883 29894865 35330295 55519035 77726649 129544415 388633245