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342161505 = 32576117807
BaseRepresentation
bin10100011001001…
…111100001100001
3212211211121100100
4110121033201201
51200043132010
653541413013
711323216260
oct2431174141
9784747310
10342161505
11166161004
129670a169
1355b7043a
143362a5d7
152008b2c0
hex1464f861

342161505 has 48 divisors (see below), whose sum is σ = 688955904. Its totient is φ = 153843840.

The previous prime is 342161503. The next prime is 342161527. The reversal of 342161505 is 505161243.

342161505 is a `hidden beast` number, since 3 + 42 + 1 + 615 + 0 + 5 = 666.

It is not a de Polignac number, because 342161505 - 21 = 342161503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (342161503) 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 47 ways as a sum of consecutive naturals, for example, 10312 + ... + 28118.

It is an arithmetic number, because the mean of its divisors is an integer number (14353248).

Almost surely, 2342161505 is an apocalyptic number.

342161505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

342161505 is an abundant number, since it is smaller than the sum of its proper divisors (346794399).

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

342161505 is a wasteful number, since it uses less digits than its factorization.

342161505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17886 (or 17883 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 342161505 is about 18497.6080886151. The cubic root of 342161505 is about 699.4291298035.

It can be divided in two parts, 34216 and 1505, that added together give a square (35721 = 1892).

The spelling of 342161505 in words is "three hundred forty-two million, one hundred sixty-one thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 61 63 105 183 305 315 427 549 915 1281 2135 2745 3843 6405 17807 19215 53421 89035 124649 160263 267105 373947 623245 801315 1086227 1121841 1869735 3258681 5431135 5609205 7603589 9776043 16293405 22810767 38017945 48880215 68432301 114053835 342161505