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3368034045 = 3252924110709
BaseRepresentation
bin1100100011000000…
…0001111011111101
322200201112212010200
43020300001323331
523344204042140
61314112354113
7146314550145
oct31060017375
98621485120
103368034045
111479192912
1279bb45939
13418a1306c
1423d449925
1514aa41030
hexc8c01efd

3368034045 has 48 divisors (see below), whose sum is σ = 6064858800. Its totient is φ = 1726986240.

The previous prime is 3368034041. The next prime is 3368034083. The reversal of 3368034045 is 5404308633.

3368034045 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 8 ways, for example, as 438734916 + 2929299129 = 20946^2 + 54123^2 .

It is not a de Polignac number, because 3368034045 - 22 = 3368034041 is a prime.

It is a super-2 number, since 2×33680340452 = 22687306656558124050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3368034041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309151 + ... + 319859.

It is an arithmetic number, because the mean of its divisors is an integer number (126351225).

Almost surely, 23368034045 is an apocalyptic number.

It is an amenable number.

3368034045 is a deficient number, since it is larger than the sum of its proper divisors (2696824755).

3368034045 is a wasteful number, since it uses less digits than its factorization.

3368034045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990 (or 10987 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3368034045 is about 58034.7658304916. The cubic root of 3368034045 is about 1498.9672958446.

The spelling of 3368034045 in words is "three billion, three hundred sixty-eight million, thirty-four thousand, forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 241 261 435 723 1205 1305 2169 3615 6989 10709 10845 20967 32127 34945 53545 62901 96381 104835 160635 310561 314505 481905 931683 1552805 2580869 2795049 4658415 7742607 12904345 13975245 23227821 38713035 74845201 116139105 224535603 374226005 673606809 1122678015 3368034045