Search a number
-
+
3430500000 = 253562287
BaseRepresentation
bin1100110001111001…
…0100011010100000
322212002002110022120
43030132110122200
524011202000000
61324223304240
7151003524504
oct31436243240
98762073276
103430500000
111500478474
127b8a4b080
13428944575
1424786a304
1515127e6a0
hexcc7946a0

3430500000 has 168 divisors, whose sum is σ = 11261105856. Its totient is φ = 914400000.

The previous prime is 3430499909. The next prime is 3430500001. The reversal of 3430500000 is 50343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3430500001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1498857 + ... + 1501143.

It is an arithmetic number, because the mean of its divisors is an integer number (67030392).

Almost surely, 23430500000 is an apocalyptic number.

3430500000 is a gapful number since it is divisible by the number (30) 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 3430500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630552928).

3430500000 is an abundant number, since it is smaller than the sum of its proper divisors (7830605856).

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

3430500000 is an frugal number, since it uses more digits than its factorization.

3430500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 3430500000 is about 58570.4703754375. The cubic root of 3430500000 is about 1508.1775595534.

Adding to 3430500000 its reverse (50343), we get a palindrome (3430550343).

The spelling of 3430500000 in words is "three billion, four hundred thirty million, five hundred thousand".