Search a number
-
+
3004035000 = 23354271739
BaseRepresentation
bin1011001100001101…
…1110111110111000
321202100121210022120
42303003132332320
522123013110000
61214030521240
7134304606351
oct26303367670
97670553276
103004035000
111301776a5a
126ba066220
1338b498005
14206d76d28
15128ade6a0
hexb30defb8

3004035000 has 160 divisors (see below), whose sum is σ = 9431980800. Its totient is φ = 797040000.

The previous prime is 3004034983. The next prime is 3004035029. The reversal of 3004035000 is 5304003.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4064631 + ... + 4065369.

It is an arithmetic number, because the mean of its divisors is an integer number (58949880).

Almost surely, 23004035000 is an apocalyptic number.

3004035000 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 3004035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715990400).

3004035000 is an abundant number, since it is smaller than the sum of its proper divisors (6427945800).

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

3004035000 is a wasteful number, since it uses less digits than its factorization.

3004035000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1020 counting only the distinct ones).

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

The square root of 3004035000 is about 54809.0777152836. The cubic root of 3004035000 is about 1442.8958891850.

Adding to 3004035000 its reverse (5304003), we get a palindrome (3009339003).

The spelling of 3004035000 in words is "three billion, four million, thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 271 300 375 500 542 600 625 739 750 813 1000 1084 1250 1355 1478 1500 1626 1875 2168 2217 2500 2710 2956 3000 3252 3695 3750 4065 4434 5000 5420 5912 6504 6775 7390 7500 8130 8868 10840 11085 13550 14780 15000 16260 17736 18475 20325 22170 27100 29560 32520 33875 36950 40650 44340 54200 55425 67750 73900 81300 88680 92375 101625 110850 135500 147800 162600 169375 184750 200269 203250 221700 271000 277125 338750 369500 400538 406500 443400 461875 508125 554250 600807 677500 739000 801076 813000 923750 1001345 1016250 1108500 1201614 1355000 1385625 1602152 1847500 2002690 2032500 2217000 2403228 2771250 3004035 3695000 4005380 4065000 4806456 5006725 5542500 6008070 8010760 10013450 11085000 12016140 15020175 20026900 24032280 25033625 30040350 40053800 50067250 60080700 75100875 100134500 120161400 125168125 150201750 200269000 250336250 300403500 375504375 500672500 600807000 751008750 1001345000 1502017500 3004035000