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34231320 = 2332595087
BaseRepresentation
bin1000001010010…
…1010000011000
32101102010112200
42002211100120
532230400240
63221410200
7563650524
oct202452030
971363480
1034231320
1118360552
12b569960
137126c26
144790d84
153012930
hex20a5418

34231320 has 48 divisors (see below), whose sum is σ = 111252960. Its totient is φ = 9128256.

The previous prime is 34231303. The next prime is 34231349. The reversal of 34231320 is 2313243.

34231320 is a `hidden beast` number, since 342 + 3 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34231293 and 34231302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47184 + ... + 47903.

It is an arithmetic number, because the mean of its divisors is an integer number (2317770).

Almost surely, 234231320 is an apocalyptic number.

34231320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34231320 is an abundant number, since it is smaller than the sum of its proper divisors (77021640).

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

34231320 is a wasteful number, since it uses less digits than its factorization.

34231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95104 (or 95097 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34231320 is about 5850.7537975888. The cubic root of 34231320 is about 324.6942133673.

Adding to 34231320 its reverse (2313243), we get a palindrome (36544563).

The spelling of 34231320 in words is "thirty-four million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 95087 190174 285261 380348 475435 570522 760696 855783 950870 1141044 1426305 1711566 1901740 2282088 2852610 3423132 3803480 4278915 5705220 6846264 8557830 11410440 17115660 34231320