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11340700 = 2252717953
BaseRepresentation
bin101011010000…
…101110011100
3210100011111221
4223100232130
510400400300
61043023124
7165252160
oct53205634
923304457
1011340700
116446488
12396aaa4
132470b97
141712ca0
15ee031a
hexad0b9c

11340700 has 72 divisors (see below), whose sum is σ = 29810592. Its totient is φ = 3655680.

The previous prime is 11340689. The next prime is 11340709. The reversal of 11340700 is 704311.

11340700 = T512 + T513 + ... + T586.

11340700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113407002 = 257222952980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11424 + ... + 12376.

It is an arithmetic number, because the mean of its divisors is an integer number (414036).

Almost surely, 211340700 is an apocalyptic number.

11340700 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 11340700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905296).

11340700 is an abundant number, since it is smaller than the sum of its proper divisors (18469892).

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

11340700 is a wasteful number, since it uses less digits than its factorization.

11340700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 11340700 is about 3367.5955814201. The cubic root of 11340700 is about 224.6707942822.

The spelling of 11340700 in words is "eleven million, three hundred forty thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 953 1190 1700 1906 2380 2975 3812 4765 5950 6671 9530 11900 13342 16201 19060 23825 26684 32402 33355 47650 64804 66710 81005 95300 113407 133420 162010 166775 226814 324020 333550 405025 453628 567035 667100 810050 1134070 1620100 2268140 2835175 5670350 11340700