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34630650 = 23252411877
BaseRepresentation
bin1000010000011…
…0101111111010
32102011102022200
42010012233322
532331140100
63234131030
7600232665
oct204065772
972142280
1034630650
111860357a
12b720a76
137236912
1448566dc
153090e00
hex2106bfa

34630650 has 72 divisors (see below), whose sum is σ = 95361084. Its totient is φ = 9004800.

The previous prime is 34630643. The next prime is 34630667. The reversal of 34630650 is 5603643.

34630650 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 0 + 650 = 666.

34630650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5890329 + 28740321 = 2427^2 + 5361^2 .

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 35 ways as a sum of consecutive naturals, for example, 17512 + ... + 19388.

Almost surely, 234630650 is an apocalyptic number.

34630650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34630650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47680542).

34630650 is an abundant number, since it is smaller than the sum of its proper divisors (60730434).

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

34630650 is a wasteful number, since it uses less digits than its factorization.

34630650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 34630650 is about 5884.7812193828. The cubic root of 34630650 is about 325.9519231045.

The spelling of 34630650 in words is "thirty-four million, six hundred thirty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 1877 2050 3075 3690 3754 5631 6150 9225 9385 11262 16893 18450 18770 28155 33786 46925 56310 76957 84465 93850 140775 153914 168930 230871 281550 384785 422325 461742 692613 769570 844650 1154355 1385226 1923925 2308710 3463065 3847850 5771775 6926130 11543550 17315325 34630650