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3134663540 = 2251934571777
BaseRepresentation
bin1011101011010111…
…0010101101110100
322002110102101222122
42322311302231310
522404433213130
61235014415112
7140452125521
oct27265625564
98073371878
103134663540
111369488128
12735961498
133ac5738c8
1421a45c148
151352e42e5
hexbad72b74

3134663540 has 48 divisors (see below), whose sum is σ = 6635111952. Its totient is φ = 1243938816.

The previous prime is 3134663489. The next prime is 3134663551. The reversal of 3134663540 is 453664313.

It can be written as a sum of positive squares in 8 ways, for example, as 7396 + 3134656144 = 86^2 + 55988^2 .

It is a super-2 number, since 2×31346635402 = 19652231018010663200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3134663540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1763132 + ... + 1764908.

It is an arithmetic number, because the mean of its divisors is an integer number (138231499).

Almost surely, 23134663540 is an apocalyptic number.

It is an amenable number.

3134663540 is an abundant number, since it is smaller than the sum of its proper divisors (3500448412).

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

3134663540 is a wasteful number, since it uses less digits than its factorization.

3134663540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The square root of 3134663540 is about 55988.0660498289. The cubic root of 3134663540 is about 1463.5143243749.

The spelling of 3134663540 in words is "three billion, one hundred thirty-four million, six hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 193 386 457 772 914 965 1777 1828 1930 2285 3554 3860 4570 7108 8885 9140 17770 35540 88201 176402 342961 352804 441005 685922 812089 882010 1371844 1624178 1714805 1764020 3248356 3429610 4060445 6859220 8120890 16241780 156733177 313466354 626932708 783665885 1567331770 3134663540