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340681432 = 237134310883
BaseRepresentation
bin10100010011100…
…110001011011000
3212202001102001211
4110103212023120
51144203301212
653445552504
711304513220
oct2423461330
9782042054
10340681432
11165340003
1296115734
1355772860
1433363080
151ed979a7
hex144e62d8

340681432 has 64 divisors (see below), whose sum is σ = 804545280. Its totient is φ = 131628672.

The previous prime is 340681421. The next prime is 340681447. The reversal of 340681432 is 234186043.

340681432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 340681394 and 340681403.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25863 + ... + 36745.

It is an arithmetic number, because the mean of its divisors is an integer number (12571020).

Almost surely, 2340681432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340681432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402272640).

340681432 is an abundant number, since it is smaller than the sum of its proper divisors (463863848).

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

340681432 is a wasteful number, since it uses less digits than its factorization.

340681432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10952 (or 10948 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 340681432 is about 18457.5575849027. The cubic root of 340681432 is about 698.4191755360.

The spelling of 340681432 in words is "three hundred forty million, six hundred eighty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 43 52 56 86 91 104 172 182 301 344 364 559 602 728 1118 1204 2236 2408 3913 4472 7826 10883 15652 21766 31304 43532 76181 87064 141479 152362 282958 304724 467969 565916 609448 935938 990353 1131832 1871876 1980706 3275783 3743752 3961412 6083597 6551566 7922824 12167194 13103132 24334388 26206264 42585179 48668776 85170358 170340716 340681432