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3468385151 = 71159763457
BaseRepresentation
bin1100111010111011…
…0101101101111111
322221201101012222022
43032232311231333
524100401311101
61332055310355
7151643534030
oct31656655577
98851335868
103468385151
11151a8a4110
1280967b3bb
1343374a60a
1424c8cca87
15154764a1b
hexcebb5b7f

3468385151 has 16 divisors (see below), whose sum is σ = 4397518080. Its totient is φ = 2656826880.

The previous prime is 3468385139. The next prime is 3468385177. The reversal of 3468385151 is 1515838643.

It is a cyclic number.

It is not a de Polignac number, because 3468385151 - 218 = 3468123007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468385651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377186 + ... + 386271.

It is an arithmetic number, because the mean of its divisors is an integer number (274844880).

Almost surely, 23468385151 is an apocalyptic number.

3468385151 is a deficient number, since it is larger than the sum of its proper divisors (929132929).

3468385151 is a wasteful number, since it uses less digits than its factorization.

3468385151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763534.

The product of its digits is 345600, while the sum is 44.

The square root of 3468385151 is about 58892.9974699879. The cubic root of 3468385151 is about 1513.7091614083.

The spelling of 3468385151 in words is "three billion, four hundred sixty-eight million, three hundred eighty-five thousand, one hundred fifty-one".

Divisors: 1 7 11 59 77 413 649 4543 763457 5344199 8398027 45043963 58786189 315307741 495483593 3468385151