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214008342 = 231729711019
BaseRepresentation
bin11001100000110…
…00001000010110
3112220200202020220
430300120020112
5414241231332
633122535210
75206020012
oct1460301026
9486622226
10214008342
11aa8906a9
125b807506
1335450472
14205cb542
1513bc4d2c
hexcc18216

214008342 has 64 divisors (see below), whose sum is σ = 475891200. Its totient is φ = 63848960.

The previous prime is 214008341. The next prime is 214008349. The reversal of 214008342 is 243800412.

214008342 = T68 + T69 + ... + T1086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214008341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209509 + ... + 210527.

It is an arithmetic number, because the mean of its divisors is an integer number (7435800).

Almost surely, 2214008342 is an apocalyptic number.

214008342 is an abundant number, since it is smaller than the sum of its proper divisors (261882858).

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

214008342 is a wasteful number, since it uses less digits than its factorization.

214008342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 214008342 is about 14629.0239592394. The cubic root of 214008342 is about 598.1501749956.

Adding to 214008342 its reverse (243800412), we get a palindrome (457808754).

The spelling of 214008342 in words is "two hundred fourteen million, eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 17 29 34 51 58 71 87 102 142 174 213 426 493 986 1019 1207 1479 2038 2059 2414 2958 3057 3621 4118 6114 6177 7242 12354 17323 29551 34646 35003 51969 59102 70006 72349 88653 103938 105009 144698 177306 210018 217047 434094 502367 1004734 1229933 1507101 2098121 2459866 3014202 3689799 4196242 6294363 7379598 12588726 35668057 71336114 107004171 214008342