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382204368 = 243271329167
BaseRepresentation
bin10110110001111…
…111100111010000
3222122011222211100
4112301333213100
51240321014433
6101531544400
712320453310
oct2661774720
9878158740
10382204368
11186820887
12a7bbb100
1361250640
1438a91440
152384ab13
hex16c7f9d0

382204368 has 120 divisors (see below), whose sum is σ = 1316526848. Its totient is φ = 100797696.

The previous prime is 382204367. The next prime is 382204379. The reversal of 382204368 is 863402283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382204367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1480 + ... + 27687.

Almost surely, 2382204368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382204368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658263424).

382204368 is an abundant number, since it is smaller than the sum of its proper divisors (934322480).

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

382204368 is a wasteful number, since it uses less digits than its factorization.

382204368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29201 (or 29192 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 382204368 is about 19550.0477748777. The cubic root of 382204368 is about 725.7135221967.

The spelling of 382204368 in words is "three hundred eighty-two million, two hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 29167 58334 87501 116668 175002 204169 233336 262503 350004 379171 408338 466672 525006 612507 700008 758342 816676 1050012 1137513 1225014 1400016 1516684 1633352 1837521 2100024 2275026 2450028 2654197 3033368 3266704 3412539 3675042 4200048 4550052 4900056 5308394 6066736 6825078 7350084 7962591 9100104 9800112 10616788 13650156 14700168 15925182 18200208 21233576 23887773 27300312 29400336 31850364 42467152 47775546 54600624 63700728 95551092 127401456 191102184 382204368