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114448 = 2423311
BaseRepresentation
bin11011111100010000
312210222211
4123330100
512130243
62241504
7654445
oct337420
9183884
10114448
1178a94
1256294
1340129
142d9cc
1523d9d
hex1bf10

114448 has 20 divisors (see below), whose sum is σ = 232128. Its totient is φ = 54560.

The previous prime is 114419. The next prime is 114451. The reversal of 114448 is 844411.

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

It is a plaindrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 213 + ... + 523.

2114448 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 114448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064).

114448 is an abundant number, since it is smaller than the sum of its proper divisors (117680).

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

114448 is a wasteful number, since it uses less digits than its factorization.

114448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 114448 is about 338.3016405517. The cubic root of 114448 is about 48.5515093804.

Adding to 114448 its product of digits (512), we get a triangular number (114960 = T479).

Adding to 114448 its reverse (844411), we get a palindrome (958859).

The spelling of 114448 in words is "one hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 311 368 622 1244 2488 4976 7153 14306 28612 57224 114448