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11352340 = 2252322937
BaseRepresentation
bin101011010011…
…100100010100
3210100202111001
4223103210110
510401233330
61043153044
7165331126
oct53234424
923322431
1011352340
1164541aa
123975784
13247627c
141717216
15ee39ca
hexad3914

11352340 has 72 divisors (see below), whose sum is σ = 26477640. Its totient is φ = 4080384.

The previous prime is 11352323. The next prime is 11352343. The reversal of 11352340 is 4325311.

It can be written as a sum of positive squares in 4 ways, for example, as 3218436 + 8133904 = 1794^2 + 2852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11352343) 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, 306802 + ... + 306838.

It is an arithmetic number, because the mean of its divisors is an integer number (367745).

Almost surely, 211352340 is an apocalyptic number.

11352340 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 11352340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13238820).

11352340 is an abundant number, since it is smaller than the sum of its proper divisors (15125300).

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

11352340 is a wasteful number, since it uses less digits than its factorization.

11352340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 11352340 is about 3369.3233742103. The cubic root of 11352340 is about 224.7476347425.

Adding to 11352340 its reverse (4325311), we get a palindrome (15677651).

The spelling of 11352340 in words is "eleven million, three hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 29 37 46 58 74 92 115 116 145 148 185 230 290 370 460 529 580 667 740 851 1058 1073 1334 1702 2116 2146 2645 2668 3335 3404 4255 4292 5290 5365 6670 8510 10580 10730 13340 15341 17020 19573 21460 24679 30682 39146 49358 61364 76705 78292 97865 98716 123395 153410 195730 246790 306820 391460 493580 567617 1135234 2270468 2838085 5676170 11352340