Search a number
-
+
3001340104 = 2372373137233
BaseRepresentation
bin1011001011100100…
…1101000011001000
321202011112212121121
42302321031003020
522121320340404
61213453045024
7134242653460
oct26271150310
97664485547
103001340104
1113001a6274
126b9186774
1338aa634b9
14206874ba0
1512875ae54
hexb2e4d0c8

3001340104 has 128 divisors (see below), whose sum is σ = 6882071040. Its totient is φ = 1199480832.

The previous prime is 3001340093. The next prime is 3001340129. The reversal of 3001340104 is 4010431003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12881172 + ... + 12881404.

It is an arithmetic number, because the mean of its divisors is an integer number (53766180).

Almost surely, 23001340104 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 3001340104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441035520).

3001340104 is an abundant number, since it is smaller than the sum of its proper divisors (3880730936).

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

3001340104 is a wasteful number, since it uses less digits than its factorization.

3001340104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3001340104 is about 54784.4878044871. The cubic root of 3001340104 is about 1442.4642899408.

Adding to 3001340104 its reverse (4010431003), we get a palindrome (7011771107).

The spelling of 3001340104 in words is "three billion, one million, three hundred forty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 56 73 92 137 146 161 184 233 274 292 322 466 511 548 584 644 932 959 1022 1096 1288 1631 1679 1864 1918 2044 3151 3262 3358 3836 4088 5359 6302 6524 6716 7672 10001 10718 11753 12604 13048 13432 17009 20002 21436 22057 23506 25208 31921 34018 37513 40004 42872 44114 47012 63842 68036 70007 75026 80008 88228 94024 119063 127684 136072 140014 150052 176456 223447 230023 238126 255368 280028 300104 391207 446894 460046 476252 560056 734183 782414 893788 920092 952504 1468366 1564828 1610161 1787576 1840184 2330233 2738449 2936732 3129656 3220322 4660466 5139281 5476898 5873464 6440644 9320932 10278562 10953796 12881288 16311631 18641864 20557124 21907592 32623262 41114248 53595359 65246524 107190718 130493048 214381436 375167513 428762872 750335026 1500670052 3001340104