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34335640 = 2355914549
BaseRepresentation
bin1000001011111…
…0101110011000
32101121102122101
42002332232120
532242220030
63223533144
7564563623
oct202765630
971542571
1034335640
1118421969
12b5ba1b4
137162561
1447badba
1530337ca
hex20beb98

34335640 has 32 divisors (see below), whose sum is σ = 78570000. Its totient is φ = 13500544.

The previous prime is 34335611. The next prime is 34335661. The reversal of 34335640 is 4653343.

34335640 is digitally balanced in base 2, 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 = 34335599 and 34335608.

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 7 ways as a sum of consecutive naturals, for example, 4915 + ... + 9634.

Almost surely, 234335640 is an apocalyptic number.

It is an amenable number.

34335640 is an abundant number, since it is smaller than the sum of its proper divisors (44234360).

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

34335640 is a wasteful number, since it uses less digits than its factorization.

34335640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14619 (or 14615 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 34335640 is about 5859.6621062993. The cubic root of 34335640 is about 325.0237142459.

Adding to 34335640 its reverse (4653343), we get a palindrome (38988983).

It can be divided in two parts, 343356 and 40, that added together give a square (343396 = 5862).

The spelling of 34335640 in words is "thirty-four million, three hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 14549 29098 58196 72745 116392 145490 290980 581960 858391 1716782 3433564 4291955 6867128 8583910 17167820 34335640