Search a number
-
+
346026306561 = 31353621126953
BaseRepresentation
bin1010000100100001100…
…01100110110000000001
31020002011011112122201220
411002100301212300001
521132130213302221
6422543504345253
733666566035125
oct5022061466001
91202134478656
10346026306561
11123826913691
125708b615229
132682655aa30
1412a67c09585
1590032780c6
hex5090c66c01

346026306561 has 32 divisors (see below), whose sum is σ = 506333261952. Its totient is φ = 208880156160.

The previous prime is 346026306559. The next prime is 346026306589. The reversal of 346026306561 is 165603620643.

It is a happy number.

It is not a de Polignac number, because 346026306561 - 21 = 346026306559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (346026306541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12824661 + ... + 12851613.

It is an arithmetic number, because the mean of its divisors is an integer number (15822914436).

Almost surely, 2346026306561 is an apocalyptic number.

It is an amenable number.

346026306561 is a deficient number, since it is larger than the sum of its proper divisors (160306955391).

346026306561 is a wasteful number, since it uses less digits than its factorization.

346026306561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33233.

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 346026306561 in words is "three hundred forty-six billion, twenty-six million, three hundred six thousand, five hundred sixty-one".

Divisors: 1 3 13 39 53 159 689 2067 6211 18633 26953 80743 80859 242229 329183 350389 987549 1051167 1428509 4279379 4285527 12838137 18570617 55711851 167405083 502215249 2176266079 6528798237 8872469399 26617408197 115342102187 346026306561