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11434248 = 233273463
BaseRepresentation
bin101011100111…
…100100001000
3210111220211200
4223213210020
510411343443
61045024200
7166122000
oct53474410
923456750
1011434248
1164aa7a1
1239b5060
1324a4637
141739000
15100cdd3
hexae7908

11434248 has 96 divisors (see below), whose sum is σ = 36192000. Its totient is φ = 3259872.

The previous prime is 11434237. The next prime is 11434249. The reversal of 11434248 is 84243411.

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

It is not an unprimeable number, because it can be changed into a prime (11434249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24465 + ... + 24927.

It is an arithmetic number, because the mean of its divisors is an integer number (377000).

Almost surely, 211434248 is an apocalyptic number.

11434248 is a gapful number since it is divisible by the number (18) 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 11434248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18096000).

11434248 is an abundant number, since it is smaller than the sum of its proper divisors (24757752).

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

11434248 is a wasteful number, since it uses less digits than its factorization.

11434248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 475 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 11434248 is about 3381.4564909222. The cubic root of 11434248 is about 225.2868637373.

Adding to 11434248 its reverse (84243411), we get a palindrome (95677659).

The spelling of 11434248 in words is "eleven million, four hundred thirty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 463 504 588 686 882 926 1029 1176 1372 1389 1764 1852 2058 2744 2778 3087 3241 3528 3704 4116 4167 5556 6174 6482 8232 8334 9723 11112 12348 12964 16668 19446 22687 24696 25928 29169 33336 38892 45374 58338 68061 77784 90748 116676 136122 158809 181496 204183 233352 272244 317618 408366 476427 544488 635236 816732 952854 1270472 1429281 1633464 1905708 2858562 3811416 5717124 11434248