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114336384 = 273793769
BaseRepresentation
bin1101101000010…
…10001010000000
321222010220000220
412310022022000
5213232231014
615202343040
72555562141
oct664121200
9258126026
10114336384
11595a3688
123235aa80
131a8c3086
1411283ac8
15a0876a9
hex6d0a280

114336384 has 64 divisors (see below), whose sum is σ = 307632000. Its totient is φ = 37619712.

The previous prime is 114336379. The next prime is 114336421. The reversal of 114336384 is 483633411.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28452 + ... + 32220.

It is an arithmetic number, because the mean of its divisors is an integer number (4806750).

Almost surely, 2114336384 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 114336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153816000).

114336384 is an abundant number, since it is smaller than the sum of its proper divisors (193295616).

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

114336384 is an equidigital number, since it uses as much as digits as its factorization.

114336384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3853 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 114336384 is about 10692.8192727643. The cubic root of 114336384 is about 485.3572087706.

Adding to 114336384 its reverse (483633411), we get a palindrome (597969795).

The spelling of 114336384 in words is "one hundred fourteen million, three hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3769 3792 5056 7538 7584 10112 11307 15076 15168 22614 30152 30336 45228 60304 90456 120608 180912 241216 297751 361824 482432 595502 723648 893253 1191004 1447296 1786506 2382008 3573012 4764016 7146024 9528032 14292048 19056064 28584096 38112128 57168192 114336384