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3405141500 = 225366110303
BaseRepresentation
bin1100101011110110…
…0101010111111100
322210022101002222212
43022331211113330
523433204012000
61321515555552
7150245140145
oct31275452774
98708332885
103405141500
111498128232
127b045bbb8
13423606137
14244348acc
1514de20c35
hexcaf655fc

3405141500 has 48 divisors (see below), whose sum is σ = 7448802816. Its totient is φ = 1359864000.

The previous prime is 3405141479. The next prime is 3405141521. The reversal of 3405141500 is 51415043.

It is an interprime number because it is at equal distance from previous prime (3405141479) and next prime (3405141521).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325349 + ... + 335651.

It is an arithmetic number, because the mean of its divisors is an integer number (155183392).

Almost surely, 23405141500 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 3405141500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724401408).

3405141500 is an abundant number, since it is smaller than the sum of its proper divisors (4043661316).

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

3405141500 is a wasteful number, since it uses less digits than its factorization.

3405141500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10983 (or 10971 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 3405141500 is about 58353.5902922862. The cubic root of 3405141500 is about 1504.4521797303.

Adding to 3405141500 its reverse (51415043), we get a palindrome (3456556543).

The spelling of 3405141500 in words is "three billion, four hundred five million, one hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 661 1322 2644 3305 6610 10303 13220 16525 20606 33050 41212 51515 66100 82625 103030 165250 206060 257575 330500 515150 1030300 1287875 2575750 5151500 6810283 13620566 27241132 34051415 68102830 136205660 170257075 340514150 681028300 851285375 1702570750 3405141500