Search a number
-
+
5034345000 = 233541013323
BaseRepresentation
bin1001011000001001…
…00000001000101000
3110222212000020001020
410230010200020220
540302243020000
62151315252440
7235520140446
oct45404401050
913885006036
105034345000
112153835a03
12b85baa120
13622cc5489
1435a881b96
151e6e8cba0
hex12c120228

5034345000 has 160 divisors (see below), whose sum is σ = 15887789280. Its totient is φ = 1328800000.

The previous prime is 5034344879. The next prime is 5034345007. The reversal of 5034345000 is 5434305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5034345007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1513339 + ... + 1516661.

It is an arithmetic number, because the mean of its divisors is an integer number (99298683).

Almost surely, 25034345000 is an apocalyptic number.

5034345000 is a gapful number since it is divisible by the number (50) 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 5034345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943894640).

5034345000 is an abundant number, since it is smaller than the sum of its proper divisors (10853444280).

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

5034345000 is a wasteful number, since it uses less digits than its factorization.

5034345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 5034345000 is about 70953.1183247079. The cubic root of 5034345000 is about 1713.8822909824.

Adding to 5034345000 its reverse (5434305), we get a palindrome (5039779305).

The spelling of 5034345000 in words is "five billion, thirty-four million, three hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 125 150 200 202 250 300 303 375 404 500 505 600 606 625 750 808 1000 1010 1212 1250 1500 1515 1875 2020 2424 2500 2525 3000 3030 3323 3750 4040 5000 5050 6060 6646 7500 7575 9969 10100 12120 12625 13292 15000 15150 16615 19938 20200 25250 26584 30300 33230 37875 39876 49845 50500 60600 63125 66460 75750 79752 83075 99690 101000 126250 132920 151500 166150 189375 199380 249225 252500 303000 332300 335623 378750 398760 415375 498450 505000 664600 671246 757500 830750 996900 1006869 1246125 1342492 1515000 1661500 1678115 1993800 2013738 2076875 2492250 2684984 3323000 3356230 4027476 4153750 4984500 5034345 6230625 6712460 8054952 8307500 8390575 9969000 10068690 12461250 13424920 16615000 16781150 20137380 24922500 25171725 33562300 40274760 41952875 49845000 50343450 67124600 83905750 100686900 125858625 167811500 201373800 209764375 251717250 335623000 419528750 503434500 629293125 839057500 1006869000 1258586250 1678115000 2517172500 5034345000