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214053340 = 225101105967
BaseRepresentation
bin11001100001000…
…11000111011100
3112220210000222111
430300203013130
5414244201330
633123523404
75206265134
oct1460430734
9486700874
10214053340
11aa911496
125b829564
1335467aa7
14205ddac4
1513bd332a
hexcc231dc

214053340 has 24 divisors (see below), whose sum is σ = 453966912. Its totient is φ = 84772800.

The previous prime is 214053337. The next prime is 214053347. The reversal of 214053340 is 43350412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214053347) 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, 50964 + ... + 55003.

It is an arithmetic number, because the mean of its divisors is an integer number (18915288).

Almost surely, 2214053340 is an apocalyptic number.

214053340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214053340 is an abundant number, since it is smaller than the sum of its proper divisors (239913572).

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

214053340 is a wasteful number, since it uses less digits than its factorization.

214053340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106077 (or 106075 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 214053340 is about 14630.5618484049. The cubic root of 214053340 is about 598.1920949742.

The spelling of 214053340 in words is "two hundred fourteen million, fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 105967 211934 423868 529835 1059670 2119340 10702667 21405334 42810668 53513335 107026670 214053340