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211341040 = 2453771399
BaseRepresentation
bin11001001100011…
…00111011110000
3112201200020101221
430212030323300
5413100403130
632545434424
75144240431
oct1446147360
9481606357
10211341040
11a9329719
125a93ba14
1334a28391
14200d5488
151384987a
hexc98cef0

211341040 has 40 divisors (see below), whose sum is σ = 504655200. Its totient is φ = 82250496.

The previous prime is 211341029. The next prime is 211341041. The reversal of 211341040 is 40143112.

211341040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211341041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32740 + ... + 38659.

It is an arithmetic number, because the mean of its divisors is an integer number (12616380).

Almost surely, 2211341040 is an apocalyptic number.

211341040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211341040 is an abundant number, since it is smaller than the sum of its proper divisors (293314160).

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

211341040 is a wasteful number, since it uses less digits than its factorization.

211341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71449 (or 71443 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211341040 is about 14537.5733876050. The cubic root of 211341040 is about 595.6547555316.

Adding to 211341040 its reverse (40143112), we get a palindrome (251484152).

The spelling of 211341040 in words is "two hundred eleven million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 71399 142798 285596 356995 571192 713990 1142384 1427980 2641763 2855960 5283526 5711920 10567052 13208815 21134104 26417630 42268208 52835260 105670520 211341040