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345523000 = 23531672069
BaseRepresentation
bin10100100110000…
…100001100111000
3220002011101110011
4110212010030320
51201423214000
654141431304
711363616454
oct2446041470
9802141404
10345523000
111680475a9
129786b534
13567794a4
1433c63664
15205022ba
hex14984338

345523000 has 64 divisors (see below), whose sum is σ = 813758400. Its totient is φ = 137315200.

The previous prime is 345522979. The next prime is 345523001. The reversal of 345523000 is 325543.

It is a super-2 number, since 2×3455230002 = 238772287058000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345523001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165966 + ... + 168034.

It is an arithmetic number, because the mean of its divisors is an integer number (12714975).

Almost surely, 2345523000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406879200).

345523000 is an abundant number, since it is smaller than the sum of its proper divisors (468235400).

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

345523000 is a wasteful number, since it uses less digits than its factorization.

345523000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 345523000 is about 18588.2489761677. The cubic root of 345523000 is about 701.7121353912.

Adding to 345523000 its reverse (325543), we get a palindrome (345848543).

The spelling of 345523000 in words is "three hundred forty-five million, five hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 167 200 250 334 500 668 835 1000 1336 1670 2069 3340 4138 4175 6680 8276 8350 10345 16552 16700 20690 20875 33400 41380 41750 51725 82760 83500 103450 167000 206900 258625 345523 413800 517250 691046 1034500 1382092 1727615 2069000 2764184 3455230 6910460 8638075 13820920 17276150 34552300 43190375 69104600 86380750 172761500 345523000