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427948341 = 3435321181
BaseRepresentation
bin11001100000011…
…111100100110101
31002211021000202120
4121200133210311
51334023321331
6110244230153
713414333542
oct3140374465
91084230676
10427948341
111aa624a17
12bb39b359
136a878792
1440b9bbc9
1527884796
hex1981f935

427948341 has 24 divisors (see below), whose sum is σ = 595595616. Its totient is φ = 273174720.

The previous prime is 427948333. The next prime is 427948349. The reversal of 427948341 is 143849724.

It is an interprime number because it is at equal distance from previous prime (427948333) and next prime (427948349).

It is not a de Polignac number, because 427948341 - 23 = 427948333 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 427948293 and 427948302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427948349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361771 + ... + 362951.

It is an arithmetic number, because the mean of its divisors is an integer number (24816484).

Almost surely, 2427948341 is an apocalyptic number.

It is an amenable number.

427948341 is a deficient number, since it is larger than the sum of its proper divisors (167647275).

427948341 is a wasteful number, since it uses less digits than its factorization.

427948341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1280 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 427948341 is about 20686.9123118942. The cubic root of 427948341 is about 753.5818831404.

The spelling of 427948341 in words is "four hundred twenty-seven million, nine hundred forty-eight thousand, three hundred forty-one".

Divisors: 1 3 43 53 129 159 1181 2279 2809 3543 6837 8427 50783 62593 120787 152349 187779 362361 2691499 3317429 8074497 9952287 142649447 427948341