Search a number
-
+
345706285000 = 235469141257
BaseRepresentation
bin1010000011111011011…
…00110100011111001000
31020001022212100212200111
411001331230310133020
521131001302110000
6422452033244104
733655631636506
oct5017554643710
91201285325614
10345706285000
1112368220475a
1257000403634
13267a516ca6b
1412a37503676
158ed5111cba
hex507db347c8

345706285000 has 40 divisors (see below), whose sum is σ = 809989837470. Its totient is φ = 138282512000.

The previous prime is 345706284947. The next prime is 345706285003. The reversal of 345706285000 is 582607543.

It can be written as a sum of positive squares in 5 ways, for example, as 25786084 + 345680498916 = 5078^2 + 587946^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (345706285003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 34565629 + ... + 34575628.

Almost surely, 2345706285000 is an apocalyptic number.

It is an amenable number.

345706285000 is an abundant number, since it is smaller than the sum of its proper divisors (464283552470).

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

345706285000 is an equidigital number, since it uses as much as digits as its factorization.

345706285000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69141283 (or 69141264 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 345706285000 in words is "three hundred forty-five billion, seven hundred six million, two hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 69141257 138282514 276565028 345706285 553130056 691412570 1382825140 1728531425 2765650280 3457062850 6914125700 8642657125 13828251400 17285314250 34570628500 43213285625 69141257000 86426571250 172853142500 345706285000