Search a number
-
+
3034519000 = 235328110799
BaseRepresentation
bin1011010011011111…
…0001010111011000
321211110222112111121
42310313301113120
522203314102000
61221040135024
7135124662112
oct26467612730
97743875447
103034519000
1113179a8047
12708307474
133948ac396
1420b0303b2
1512b611b1a
hexb4df15d8

3034519000 has 64 divisors (see below), whose sum is σ = 7126704000. Its totient is φ = 1209376000.

The previous prime is 3034518983. The next prime is 3034519009. The reversal of 3034519000 is 9154303.

It is a super-2 number, since 2×30345190002 = 18416611122722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034519009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275601 + ... + 286399.

It is an arithmetic number, because the mean of its divisors is an integer number (111354750).

Almost surely, 23034519000 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 3034519000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563352000).

3034519000 is an abundant number, since it is smaller than the sum of its proper divisors (4092185000).

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

3034519000 is a wasteful number, since it uses less digits than its factorization.

3034519000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11101 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 3034519000 is about 55086.4683928821. The cubic root of 3034519000 is about 1447.7601565959.

The spelling of 3034519000 in words is "three billion, thirty-four million, five hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 281 500 562 1000 1124 1405 2248 2810 5620 7025 10799 11240 14050 21598 28100 35125 43196 53995 56200 70250 86392 107990 140500 215980 269975 281000 431960 539950 1079900 1349875 2159800 2699750 3034519 5399500 6069038 10799000 12138076 15172595 24276152 30345190 60690380 75862975 121380760 151725950 303451900 379314875 606903800 758629750 1517259500 3034519000