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11008340 = 2257247239
BaseRepresentation
bin101001111111…
…100101010100
3202201021121022
4221333211110
510304231330
61031540312
7162366200
oct51774524
922637538
1011008340
116239802
12382a698
132385815
141667b00
15e76ae5
hexa7f954

11008340 has 72 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 3678528.

The previous prime is 11008307. The next prime is 11008363. The reversal of 11008340 is 4380011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45941 + ... + 46179.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 211008340 is an apocalyptic number.

11008340 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 11008340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

11008340 is an abundant number, since it is smaller than the sum of its proper divisors (16570540).

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

11008340 is a wasteful number, since it uses less digits than its factorization.

11008340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11008340 is about 3317.8818544367. The cubic root of 11008340 is about 222.4542009004.

Adding to 11008340 its reverse (4380011), we get a palindrome (15388351).

The spelling of 11008340 in words is "eleven million, eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 239 245 329 470 478 490 658 940 956 980 1195 1316 1645 1673 2303 2390 3290 3346 4606 4780 6580 6692 8365 9212 11233 11515 11711 16730 22466 23030 23422 33460 44932 46060 46844 56165 58555 78631 112330 117110 157262 224660 234220 314524 393155 550417 786310 1100834 1572620 2201668 2752085 5504170 11008340