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11343780 = 2233573001
BaseRepresentation
bin101011010001…
…011110100100
3210100022202000
4223101132210
510401000110
61043045300
7165264150
oct53213644
923308660
1011343780
116448828
123970830
1324723c6
141714060
15ee11c0
hexad17a4

11343780 has 96 divisors (see below), whose sum is σ = 40346880. Its totient is φ = 2592000.

The previous prime is 11343769. The next prime is 11343781. The reversal of 11343780 is 8734311.

11343780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11343781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2280 + ... + 5280.

It is an arithmetic number, because the mean of its divisors is an integer number (420280).

Almost surely, 211343780 is an apocalyptic number.

11343780 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 11343780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20173440).

11343780 is an abundant number, since it is smaller than the sum of its proper divisors (29003100).

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

11343780 is a wasteful number, since it uses less digits than its factorization.

11343780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11343780 is about 3368.0528499416. The cubic root of 11343780 is about 224.6911317514.

The spelling of 11343780 in words is "eleven million, three hundred forty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3001 3780 6002 9003 12004 15005 18006 21007 27009 30010 36012 42014 45015 54018 60020 63021 81027 84028 90030 105035 108036 126042 135045 162054 180060 189063 210070 252084 270090 315105 324108 378126 405135 420140 540180 567189 630210 756252 810270 945315 1134378 1260420 1620540 1890630 2268756 2835945 3781260 5671890 11343780