Search a number
-
+
3040234000 = 245315110067
BaseRepresentation
bin1011010100110110…
…0100101000010000
321211212201220000021
42311031210220100
522211244442000
61221402433224
7135224363656
oct26515445020
97755656007
103040234000
111320150891
1270a202814
13395b3073b
1420babadd6
1512bd9011a
hexb5364a10

3040234000 has 80 divisors (see below), whose sum is σ = 7400704896. Its totient is φ = 1207920000.

The previous prime is 3040233997. The next prime is 3040234051. The reversal of 3040234000 is 4320403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296967 + ... + 307033.

Almost surely, 23040234000 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 3040234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700352448).

3040234000 is an abundant number, since it is smaller than the sum of its proper divisors (4360470896).

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

3040234000 is a wasteful number, since it uses less digits than its factorization.

3040234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10241 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3040234000 is about 55138.3169855591. The cubic root of 3040234000 is about 1448.6684565638.

Adding to 3040234000 its reverse (4320403), we get a palindrome (3044554403).

The spelling of 3040234000 in words is "three billion, forty million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 151 200 250 302 400 500 604 755 1000 1208 1510 2000 2416 3020 3775 6040 7550 10067 12080 15100 18875 20134 30200 37750 40268 50335 60400 75500 80536 100670 151000 161072 201340 251675 302000 402680 503350 805360 1006700 1258375 1520117 2013400 2516750 3040234 4026800 5033500 6080468 7600585 10067000 12160936 15201170 20134000 24321872 30402340 38002925 60804680 76005850 121609360 152011700 190014625 304023400 380029250 608046800 760058500 1520117000 3040234000