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165234340 = 2253128597
BaseRepresentation
bin10011101100101…
…00011010100100
3102111220202220101
421312110122210
5314244444330
624221313444
74044316525
oct1166243244
9374822811
10165234340
11852a8007
1247405884
13283040cb
1417d3284c
15e78d4ca
hex9d946a4

165234340 has 36 divisors (see below), whose sum is σ = 358588188. Its totient is φ = 63954240.

The previous prime is 165234331. The next prime is 165234347. The reversal of 165234340 is 43432561.

It can be written as a sum of positive squares in 2 ways, for example, as 88811776 + 76422564 = 9424^2 + 8742^2 .

It is a junction number, because it is equal to n+sod(n) for n = 165234299 and 165234308.

It is not an unprimeable number, because it can be changed into a prime (165234347) 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 11 ways as a sum of consecutive naturals, for example, 14922 + ... + 23518.

It is an arithmetic number, because the mean of its divisors is an integer number (9960783).

Almost surely, 2165234340 is an apocalyptic number.

165234340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165234340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179294094).

165234340 is an abundant number, since it is smaller than the sum of its proper divisors (193353848).

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

165234340 is a wasteful number, since it uses less digits than its factorization.

165234340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8635 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 165234340 is about 12854.3510143453. The cubic root of 165234340 is about 548.7401909126.

The spelling of 165234340 in words is "one hundred sixty-five million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 3844 4805 8597 9610 17194 19220 34388 42985 85970 171940 266507 533014 1066028 1332535 2665070 5330140 8261717 16523434 33046868 41308585 82617170 165234340