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165248343 = 34131391129
BaseRepresentation
bin10011101100101…
…11110101010111
3102111221111010000
421312113311113
5314300421333
624221502343
74044405411
oct1166276527
9374844100
10165248343
1185307587
12474119b3
132830a5b0
1417d379b1
15e792713
hex9d97d57

165248343 has 40 divisors (see below), whose sum is σ = 267990800. Its totient is φ = 100870272.

The previous prime is 165248323. The next prime is 165248371. The reversal of 165248343 is 343842561.

165248343 is a `hidden beast` number, since 16 + 524 + 83 + 43 = 666.

It is not a de Polignac number, because 165248343 - 28 = 165248087 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165248298 and 165248307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165248323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145803 + ... + 146931.

It is an arithmetic number, because the mean of its divisors is an integer number (6699770).

Almost surely, 2165248343 is an apocalyptic number.

165248343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

165248343 is a deficient number, since it is larger than the sum of its proper divisors (102742457).

165248343 is a wasteful number, since it uses less digits than its factorization.

165248343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1284 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 165248343 is about 12854.8956821905. The cubic root of 165248343 is about 548.7556917095.

The spelling of 165248343 in words is "one hundred sixty-five million, two hundred forty-eight thousand, three hundred forty-three".

Divisors: 1 3 9 13 27 39 81 117 139 351 417 1053 1129 1251 1807 3387 3753 5421 10161 11259 14677 16263 30483 44031 48789 91449 132093 146367 156931 396279 470793 1188837 1412379 2040103 4237137 6120309 12711411 18360927 55082781 165248343