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338282505 = 325112343691
BaseRepresentation
bin10100001010011…
…100100000001001
3212120112112100200
4110022130200021
51143100020010
653322322413
711245232241
oct2412344011
9776475320
10338282505
11163a51720
1295359409
1355112982
1432cdab21
151ea71cc0
hex1429c809

338282505 has 96 divisors (see below), whose sum is σ = 683983872. Its totient is φ = 153014400.

The previous prime is 338282501. The next prime is 338282521. The reversal of 338282505 is 505282833.

It is not a de Polignac number, because 338282505 - 22 = 338282501 is a prime.

It is a super-2 number, since 2×3382825052 = 228870106378150050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 338282505.

It is not an unprimeable number, because it can be changed into a prime (338282501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489210 + ... + 489900.

It is an arithmetic number, because the mean of its divisors is an integer number (7124832).

Almost surely, 2338282505 is an apocalyptic number.

It is an amenable number.

338282505 is an abundant number, since it is smaller than the sum of its proper divisors (345701367).

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

338282505 is a wasteful number, since it uses less digits than its factorization.

338282505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 338282505 is about 18392.4578292299. The cubic root of 338282505 is about 696.7759936431.

The spelling of 338282505 in words is "three hundred thirty-eight million, two hundred eighty-two thousand, five hundred five".

Divisors: 1 3 5 9 11 15 23 33 43 45 55 69 99 115 129 165 207 215 253 345 387 473 495 645 691 759 989 1035 1265 1419 1935 2073 2277 2365 2967 3455 3795 4257 4945 6219 7095 7601 8901 10365 10879 11385 14835 15893 21285 22803 29713 31095 32637 38005 44505 47679 54395 68409 79465 89139 97911 114015 143037 148565 163185 174823 238395 267417 326843 342045 445695 489555 524469 683399 715185 874115 980529 1337085 1573407 1634215 2050197 2622345 2941587 3416995 4902645 6150591 7517389 7867035 10250985 14707935 22552167 30752955 37586945 67656501 112760835 338282505