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345654515044 = 22178957114097
BaseRepresentation
bin1010000011110101001…
…11010101010101100100
31020001012020221200122201
411001322213111111210
521130400023440134
6422442543504244
733654432620626
oct5017247252544
91201166850581
10345654515044
11123655a65173
1256ba6bb8084
1326797514b57
1412a306a8c16
158ed07d7914
hex507a9d5564

345654515044 has 24 divisors (see below), whose sum is σ = 647673871320. Its totient is φ = 160833294336.

The previous prime is 345654515023. The next prime is 345654515083. The reversal of 345654515044 is 440515456543.

It can be written as a sum of positive squares in 4 ways, for example, as 42637294144 + 303017220900 = 206488^2 + 550470^2 .

It is a super-3 number, since 3×3456545150443 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345654514985 and 345654515003.

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 7 ways as a sum of consecutive naturals, for example, 28550997 + ... + 28563100.

It is an arithmetic number, because the mean of its divisors is an integer number (26986411305).

Almost surely, 2345654515044 is an apocalyptic number.

345654515044 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

345654515044 is a deficient number, since it is larger than the sum of its proper divisors (302019356276).

345654515044 is a wasteful number, since it uses less digits than its factorization.

345654515044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57114207 (or 57114205 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 46.

The spelling of 345654515044 in words is "three hundred forty-five billion, six hundred fifty-four million, five hundred fifteen thousand, forty-four".

Divisors: 1 2 4 17 34 68 89 178 356 1513 3026 6052 57114097 114228194 228456388 970939649 1941879298 3883758596 5083154633 10166309266 20332618532 86413628761 172827257522 345654515044