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34200312 = 2331817873
BaseRepresentation
bin1000001001110…
…1101011111000
32101100120000020
42002131223320
532223402222
63221010440
7563461236
oct202355370
971316006
1034200312
111833a223
12b553a20
137115a93
144783956
15300865c
hex209daf8

34200312 has 32 divisors (see below), whose sum is σ = 85984080. Its totient is φ = 11335680.

The previous prime is 34200307. The next prime is 34200319. The reversal of 34200312 is 21300243.

34200312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×342003122 = 2339322681794688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34200291 and 34200300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200319) 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, 408 + ... + 8280.

Almost surely, 234200312 is an apocalyptic number.

It is an amenable number.

34200312 is an abundant number, since it is smaller than the sum of its proper divisors (51783768).

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

34200312 is a wasteful number, since it uses less digits than its factorization.

34200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8063 (or 8059 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34200312 is about 5848.1032822617. The cubic root of 34200312 is about 324.5961437269.

Adding to 34200312 its reverse (21300243), we get a palindrome (55500555).

The spelling of 34200312 in words is "thirty-four million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 181 362 543 724 1086 1448 2172 4344 7873 15746 23619 31492 47238 62984 94476 188952 1425013 2850026 4275039 5700052 8550078 11400104 17100156 34200312