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3421505000 = 23541740253
BaseRepresentation
bin1100101111110000…
…0000010111101000
322211110011110111102
43023330000113220
524001401130000
61323302420532
7150534212144
oct31374002750
98743143442
103421505000
1114a6394391
127b5a31748
13426b15294
142465a8224
151505a43d5
hexcbf005e8

3421505000 has 80 divisors (see below), whose sum is σ = 8488360980. Its totient is φ = 1288064000.

The previous prime is 3421504951. The next prime is 3421505011. The reversal of 3421505000 is 5051243.

It can be written as a sum of positive squares in 10 ways, for example, as 14915044 + 3406589956 = 3862^2 + 58366^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64874 + ... + 105126.

Almost surely, 23421505000 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 3421505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244180490).

3421505000 is an abundant number, since it is smaller than the sum of its proper divisors (5066855980).

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

3421505000 is a wasteful number, since it uses less digits than its factorization.

3421505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40296 (or 40277 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 3421505000 is about 58493.6321320535. The cubic root of 3421505000 is about 1506.8582250068.

Adding to 3421505000 its reverse (5051243), we get a palindrome (3426556243).

The spelling of 3421505000 in words is "three billion, four hundred twenty-one million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3400 4250 5000 8500 10625 17000 21250 40253 42500 80506 85000 161012 201265 322024 402530 684301 805060 1006325 1368602 1610120 2012650 2737204 3421505 4025300 5031625 5474408 6843010 8050600 10063250 13686020 17107525 20126500 25158125 27372040 34215050 40253000 50316250 68430100 85537625 100632500 136860200 171075250 201265000 342150500 427688125 684301000 855376250 1710752500 3421505000