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343148504929 = 37531131548553
BaseRepresentation
bin1001111111001010011…
…11101010011101100001
31012210201121110012001021
410333211033222131201
521110232004124204
6421350143205441
733535353110656
oct4774517523541
91183647405037
10343148504929
1112258a42672a
12566078a6881
132648828cc29
1412873931c2d
158dd57c1154
hex4fe53ea761

343148504929 has 16 divisors (see below), whose sum is σ = 362250140112. Its totient is φ = 324675606528.

The previous prime is 343148504891. The next prime is 343148504957. The reversal of 343148504929 is 929405841343.

It can be written as a sum of positive squares in 8 ways, for example, as 39384387025 + 303764117904 = 198455^2 + 551148^2 .

It is not a de Polignac number, because 343148504929 - 219 = 343147980641 is a prime.

It is a super-4 number, since 4×3431485049294 (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (343148502929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552684 + ... + 995869.

It is an arithmetic number, because the mean of its divisors is an integer number (22640633757).

Almost surely, 2343148504929 is an apocalyptic number.

It is an amenable number.

343148504929 is a deficient number, since it is larger than the sum of its proper divisors (19101635183).

343148504929 is a wasteful number, since it uses less digits than its factorization.

343148504929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548756.

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 343148504929 in words is "three hundred forty-three billion, one hundred forty-eight million, five hundred four thousand, nine hundred twenty-nine".

Divisors: 1 37 53 113 1961 4181 5989 221593 1548553 57296461 82073309 174986489 3036712433 6474500093 9274283917 343148504929