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34144300302 = 2373126224501
BaseRepresentation
bin11111110011001010…
…001010110100001110
310021010120112011121220
4133303022022310032
51024411420102202
623404034504210
72316061523010
oct376312126416
9107116464556
1034144300302
1113531627202
12674aa35066
1332b1b6b2b8
14191ca021b0
15d4c8a4abc
hex7f328ad0e

34144300302 has 32 divisors (see below), whose sum is σ = 80561670144. Its totient is φ = 9440820000.

The previous prime is 34144300297. The next prime is 34144300313. The reversal of 34144300302 is 20300344143.

It is a super-2 number, since 2×341443003022 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13110949 + ... + 13113552.

It is an arithmetic number, because the mean of its divisors is an integer number (2517552192).

Almost surely, 234144300302 is an apocalyptic number.

34144300302 is an abundant number, since it is smaller than the sum of its proper divisors (46417369842).

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

34144300302 is a wasteful number, since it uses less digits than its factorization.

34144300302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26224544.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34144300302 its reverse (20300344143), we get a palindrome (54444644445).

The spelling of 34144300302 in words is "thirty-four billion, one hundred forty-four million, three hundred thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 26224501 52449002 78673503 157347006 183571507 367143014 550714521 812959531 1101429042 1625919062 2438878593 4877757186 5690716717 11381433434 17072150151 34144300302