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163314432 = 283273971
BaseRepresentation
bin10011011101111…
…11101100000000
3102101022020021200
421232333230000
5313302030212
624112221200
74022102241
oct1156775400
9371266250
10163314432
1184206606
124683a800
1327ab1278
1417992cc8
15e50e6dc
hex9bbfb00

163314432 has 108 divisors (see below), whose sum is σ = 477817704. Its totient is φ = 53637120.

The previous prime is 163314397. The next prime is 163314433. The reversal of 163314432 is 234413361.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 163314396 and 163314405.

It is not an unprimeable number, because it can be changed into a prime (163314433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167707 + ... + 168677.

It is an arithmetic number, because the mean of its divisors is an integer number (4424238).

Almost surely, 2163314432 is an apocalyptic number.

163314432 is a gapful number since it is divisible by the number (12) 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 163314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238908852).

163314432 is an abundant number, since it is smaller than the sum of its proper divisors (314503272).

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

163314432 is an equidigital number, since it uses as much as digits as its factorization.

163314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1049 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 163314432 is about 12779.4535094424. The cubic root of 163314432 is about 546.6065794225.

Adding to 163314432 its reverse (234413361), we get a palindrome (397727793).

The spelling of 163314432 in words is "one hundred sixty-three million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 576 584 657 768 876 971 1152 1168 1314 1752 1942 2304 2336 2628 2913 3504 3884 4672 5256 5826 7008 7768 8739 9344 10512 11652 14016 15536 17478 18688 21024 23304 28032 31072 34956 42048 46608 56064 62144 69912 70883 84096 93216 124288 139824 141766 168192 186432 212649 248576 279648 283532 372864 425298 559296 567064 637947 745728 850596 1118592 1134128 1275894 1701192 2237184 2268256 2551788 3402384 4536512 5103576 6804768 9073024 10207152 13609536 18146048 20414304 27219072 40828608 54438144 81657216 163314432