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211434240 = 283555061
BaseRepresentation
bin11001001101000…
…11101100000000
3112201211222020210
430212203230000
5413111343430
632551434120
75145106233
oct1446435400
9481758223
10211434240
11a9392746
125a985940
1334a5b924
142011b41a
15138672b0
hexc9a3b00

211434240 has 72 divisors (see below), whose sum is σ = 675280368. Its totient is φ = 56381440.

The previous prime is 211434233. The next prime is 211434241. The reversal of 211434240 is 42434112.

It is not an unprimeable number, because it can be changed into a prime (211434241) 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 7 ways as a sum of consecutive naturals, for example, 23691 + ... + 31370.

It is an arithmetic number, because the mean of its divisors is an integer number (9378894).

Almost surely, 2211434240 is an apocalyptic number.

211434240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211434240 is an abundant number, since it is smaller than the sum of its proper divisors (463846128).

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

211434240 is an equidigital number, since it uses as much as digits as its factorization.

211434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55085 (or 55071 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 211434240 is about 14540.7785211109. The cubic root of 211434240 is about 595.7423025987.

Adding to 211434240 its reverse (42434112), we get a palindrome (253868352).

The spelling of 211434240 in words is "two hundred eleven million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 55061 110122 165183 220244 275305 330366 440488 550610 660732 825915 880976 1101220 1321464 1651830 1761952 2202440 2642928 3303660 3523904 4404880 5285856 6607320 7047808 8809760 10571712 13214640 14095616 17619520 21143424 26429280 35239040 42286848 52858560 70478080 105717120 211434240