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368482380 = 223573132803
BaseRepresentation
bin10101111101101…
…001100001001100
3221200100211210120
4111331221201030
51223312414010
6100321504540
712063022440
oct2575514114
9850324716
10368482380
11179aa92a2
12a34a2150
135b457916
1436d1c820
1522539e70
hex15f6984c

368482380 has 96 divisors (see below), whose sum is σ = 1183332864. Its totient is φ = 83925504.

The previous prime is 368482369. The next prime is 368482417. The reversal of 368482380 is 83284863.

368482380 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

368482380 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130059 + ... + 132861.

It is an arithmetic number, because the mean of its divisors is an integer number (12326384).

Almost surely, 2368482380 is an apocalyptic number.

368482380 is a gapful number since it is divisible by the number (30) 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 368482380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591666432).

368482380 is an abundant number, since it is smaller than the sum of its proper divisors (814850484).

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

368482380 is a wasteful number, since it uses less digits than its factorization.

368482380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 368482380 is about 19195.8948736442. The cubic root of 368482380 is about 716.9225517360.

The spelling of 368482380 in words is "three hundred sixty-eight million, four hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 313 420 626 939 1252 1565 1878 2191 2803 3130 3756 4382 4695 5606 6260 6573 8409 8764 9390 10955 11212 13146 14015 16818 18780 19621 21910 26292 28030 32865 33636 39242 42045 43820 56060 58863 65730 78484 84090 98105 117726 131460 168180 196210 235452 294315 392420 588630 877339 1177260 1754678 2632017 3509356 4386695 5264034 6141373 8773390 10528068 12282746 13160085 17546780 18424119 24565492 26320170 30706865 36848238 52640340 61413730 73696476 92120595 122827460 184241190 368482380