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11344080 = 2435114297
BaseRepresentation
bin101011010001…
…100011010000
3210100100011010
4223101203100
510401002310
61043050520
7165265056
oct53214320
923310133
1011344080
116448a80
123970a40
132472597
1417141d6
15ee1320
hexad18d0

11344080 has 80 divisors (see below), whose sum is σ = 38372544. Its totient is φ = 2749440.

The previous prime is 11344079. The next prime is 11344087. The reversal of 11344080 is 8044311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492 + ... + 4788.

Almost surely, 211344080 is an apocalyptic number.

11344080 is a gapful number since it is divisible by the number (10) 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 11344080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186272).

11344080 is an abundant number, since it is smaller than the sum of its proper divisors (27028464).

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

11344080 is a wasteful number, since it uses less digits than its factorization.

11344080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11344080 is about 3368.0973857654. The cubic root of 11344080 is about 224.6931124769.

Adding to 11344080 its reverse (8044311), we get a palindrome (19388391).

The spelling of 11344080 in words is "eleven million, three hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4297 8594 12891 17188 21485 25782 34376 42970 47267 51564 64455 68752 85940 94534 103128 128910 141801 171880 189068 206256 236335 257820 283602 343760 378136 472670 515640 567204 709005 756272 945340 1031280 1134408 1418010 1890680 2268816 2836020 3781360 5672040 11344080