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214410340 = 22529369673
BaseRepresentation
bin11001100011110…
…10010001100100
3112221110011200201
430301322101210
5414342112330
633135320244
75212313014
oct1461722144
9487404621
10214410340
11100035731
125b980084
1335561431
1420693c44
1513c53eca
hexcc7a464

214410340 has 24 divisors (see below), whose sum is σ = 465789240. Its totient is φ = 82806528.

The previous prime is 214410337. The next prime is 214410349. The reversal of 214410340 is 43014412.

It can be written as a sum of positive squares in 4 ways, for example, as 93586276 + 120824064 = 9674^2 + 10992^2 .

It is not an unprimeable number, because it can be changed into a prime (214410349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184257 + ... + 185416.

It is an arithmetic number, because the mean of its divisors is an integer number (19407885).

Almost surely, 2214410340 is an apocalyptic number.

214410340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214410340 is an abundant number, since it is smaller than the sum of its proper divisors (251378900).

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

214410340 is a wasteful number, since it uses less digits than its factorization.

214410340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369711 (or 369709 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 214410340 is about 14642.7572540147. The cubic root of 214410340 is about 598.5244669040.

Adding to 214410340 its reverse (43014412), we get a palindrome (257424752).

The spelling of 214410340 in words is "two hundred fourteen million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 369673 739346 1478692 1848365 3696730 7393460 10720517 21441034 42882068 53602585 107205170 214410340