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349925000 = 235513997
BaseRepresentation
bin10100110110110…
…110111010001000
3220101110000212012
4110312312322020
51204040100000
654420035052
711446212335
oct2466667210
9811400765
10349925000
1116a583917
1299232a88
135765b019
143468b98c
1520ac1735
hex14db6e88

349925000 has 48 divisors (see below), whose sum is σ = 820142820. Its totient is φ = 139960000.

The previous prime is 349924999. The next prime is 349925003. The reversal of 349925000 is 529943.

It can be written as a sum of positive squares in 6 ways, for example, as 43744996 + 306180004 = 6614^2 + 17498^2 .

It is not an unprimeable number, because it can be changed into a prime (349925003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18002 + ... + 31998.

Almost surely, 2349925000 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 349925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410071410).

349925000 is an abundant number, since it is smaller than the sum of its proper divisors (470217820).

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

349925000 is an equidigital number, since it uses as much as digits as its factorization.

349925000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14028 (or 14004 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 349925000 is about 18706.2823671621. The cubic root of 349925000 is about 704.6795317624.

The spelling of 349925000 in words is "three hundred forty-nine million, nine hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 13997 25000 27994 55988 69985 111976 139970 279940 349925 559880 699850 1399700 1749625 2799400 3499250 6998500 8748125 13997000 17496250 34992500 43740625 69985000 87481250 174962500 349925000