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345448526115 = 35711311961703
BaseRepresentation
bin1010000011011100101…
…01100011000100100011
31020000122220100100222010
411001232111203010203
521124434310313430
6422410304444003
733646352011050
oct5015625430443
91200586310863
10345448526115
1112355a761690
1256b4a019603
1326763941904
1412a111a8027
158ebc698cb0
hex506e563123

345448526115 has 64 divisors (see below), whose sum is σ = 691318996992. Its totient is φ = 143101257600.

The previous prime is 345448526113. The next prime is 345448526141. The reversal of 345448526115 is 511625844543.

It is not a de Polignac number, because 345448526115 - 21 = 345448526113 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (345448526113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121647 + ... + 840056.

It is an arithmetic number, because the mean of its divisors is an integer number (10801859328).

Almost surely, 2345448526115 is an apocalyptic number.

345448526115 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345448526115 is an abundant number, since it is smaller than the sum of its proper divisors (345870470877).

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

345448526115 is a wasteful number, since it uses less digits than its factorization.

345448526115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962040.

The product of its digits is 2304000, while the sum is 48.

The spelling of 345448526115 in words is "three hundred forty-five billion, four hundred forty-eight million, five hundred twenty-six thousand, one hundred fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 311 385 933 1155 1555 2177 3421 4665 6531 10263 10885 17105 23947 32655 51315 71841 119735 359205 961703 2885109 4808515 6731921 10578733 14425545 20195763 31736199 33659605 52893665 74051131 100978815 158680995 222153393 299089633 370255655 897268899 1110766965 1495448165 2093627431 3289985963 4486344495 6280882293 9869957889 10468137155 16449929815 23029901741 31404411465 49349789445 69089705223 115149508705 345448526115