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14634432 = 2635941
BaseRepresentation
bin110111110100…
…110111000000
31000112111200000
4313310313000
512221300212
61241400000
7235250661
oct67646700
930474600
1014634432
11829607a
124a99000
133055137
141d2d368
1514411dc
hexdf4dc0

14634432 has 84 divisors (see below), whose sum is σ = 43546776. Its totient is φ = 4872960.

The previous prime is 14634421. The next prime is 14634439. The reversal of 14634432 is 23443641.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 14634396 and 14634405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14634439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15082 + ... + 16022.

It is an arithmetic number, because the mean of its divisors is an integer number (518414).

Almost surely, 214634432 is an apocalyptic number.

14634432 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 14634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21773388).

14634432 is an abundant number, since it is smaller than the sum of its proper divisors (28912344).

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

14634432 is an frugal number, since it uses more digits than its factorization.

14634432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 946 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 14634432 is about 3825.4976146901. The cubic root of 14634432 is about 244.6012227198.

The spelling of 14634432 in words is "fourteen million, six hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 941 972 1296 1728 1882 1944 2592 2823 3764 3888 5184 5646 7528 7776 8469 11292 15056 15552 16938 22584 25407 30112 33876 45168 50814 60224 67752 76221 90336 101628 135504 152442 180672 203256 228663 271008 304884 406512 457326 542016 609768 813024 914652 1219536 1626048 1829304 2439072 3658608 4878144 7317216 14634432