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5034341000 = 235313229789
BaseRepresentation
bin1001011000001000…
…11111001010001000
3110222212000000120002
410230010133022020
540302242403000
62151315222132
7235520123003
oct45404371210
913885000502
105034341000
1121538329a7
12b85ba7948
13622cc3700
1435a88053a
151e6e8b8d5
hex12c11f288

5034341000 has 96 divisors (see below), whose sum is σ = 12756673800. Its totient is φ = 1858771200.

The previous prime is 5034340979. The next prime is 5034341017. The reversal of 5034341000 is 1434305.

It can be written as a sum of positive squares in 12 ways, for example, as 3097812964 + 1936528036 = 55658^2 + 44006^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 154106 + ... + 183894.

Almost surely, 25034341000 is an apocalyptic number.

5034341000 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 5034341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378336900).

5034341000 is an abundant number, since it is smaller than the sum of its proper divisors (7722332800).

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

5034341000 is a wasteful number, since it uses less digits than its factorization.

5034341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29836 (or 29809 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5034341000 is about 70953.0901370758. The cubic root of 5034341000 is about 1713.8818370650.

Adding to 5034341000 its reverse (1434305), we get a palindrome (5035775305).

The spelling of 5034341000 in words is "five billion, thirty-four million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 169 200 250 260 325 338 500 520 650 676 845 1000 1300 1352 1625 1690 2600 3250 3380 4225 6500 6760 8450 13000 16900 21125 29789 33800 42250 59578 84500 119156 148945 169000 238312 297890 387257 595780 744725 774514 1191560 1489450 1549028 1936285 2978900 3098056 3723625 3872570 5034341 5957800 7447250 7745140 9681425 10068682 14894500 15490280 19362850 20137364 25171705 29789000 38725700 40274728 48407125 50343410 77451400 96814250 100686820 125858525 193628500 201373640 251717050 387257000 503434100 629292625 1006868200 1258585250 2517170500 5034341000