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345433800 = 23352575723
BaseRepresentation
bin10100100101101…
…110011011001000
3220001222212002110
4110211232123020
51201412340200
654135502320
711363065425
oct2445563310
9801885073
10345433800
11167a96588
12978279a0
13567479ca
1433c3cd4c
15204d5b50
hex1496e6c8

345433800 has 48 divisors (see below), whose sum is σ = 1070846640. Its totient is φ = 92115520.

The previous prime is 345433763. The next prime is 345433841. The reversal of 345433800 is 8334543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287262 + ... + 288461.

It is an arithmetic number, because the mean of its divisors is an integer number (22309305).

Almost surely, 2345433800 is an apocalyptic number.

345433800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345433800 is an abundant number, since it is smaller than the sum of its proper divisors (725412840).

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

345433800 is a wasteful number, since it uses less digits than its factorization.

345433800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575742 (or 575733 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 345433800 is about 18585.8494559705. The cubic root of 345433800 is about 701.6517456733.

The spelling of 345433800 in words is "three hundred forty-five million, four hundred thirty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 575723 1151446 1727169 2302892 2878615 3454338 4605784 5757230 6908676 8635845 11514460 13817352 14393075 17271690 23028920 28786150 34543380 43179225 57572300 69086760 86358450 115144600 172716900 345433800