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3415324220 = 2257112375449
BaseRepresentation
bin1100101110010001…
…1011011000111100
322211000112110001122
43023210123120330
523443310333340
61322522130112
7150430530320
oct31344333074
98730473048
103415324220
1114a2952700
127b3950938
1342575cc09
14245839980
1514ec82db5
hexcb91b63c

3415324220 has 144 divisors (see below), whose sum is σ = 9254884800. Its totient is φ = 1035555840.

The previous prime is 3415324207. The next prime is 3415324267. The reversal of 3415324220 is 224235143.

It is a self number, because there is not a number n which added to its sum of digits gives 3415324220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624056 + ... + 629504.

Almost surely, 23415324220 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 3415324220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627442400).

3415324220 is an abundant number, since it is smaller than the sum of its proper divisors (5839560580).

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

3415324220 is a wasteful number, since it uses less digits than its factorization.

3415324220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 3415324220 is about 58440.7753199767. The cubic root of 3415324220 is about 1505.9503230770.

Adding to 3415324220 its reverse (224235143), we get a palindrome (3639559363).

The spelling of 3415324220 in words is "three billion, four hundred fifteen million, three hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 55 70 74 77 110 121 140 148 154 185 220 242 259 308 370 385 407 484 518 605 740 770 814 847 1036 1210 1295 1540 1628 1694 2035 2420 2590 2849 3388 4070 4235 4477 5180 5449 5698 8140 8470 8954 10898 11396 14245 16940 17908 21796 22385 27245 28490 31339 38143 44770 54490 56980 59939 62678 76286 89540 108980 119878 125356 152572 156695 190715 201613 239756 299695 313390 381430 403226 419573 599390 626780 659329 762860 806452 839146 1008065 1198780 1318658 1411291 1678292 2016130 2097865 2217743 2637316 2822582 3296645 4032260 4195730 4435486 4615303 5645164 6593290 7056455 8391460 8870972 9230606 11088715 13186580 14112910 15524201 18461212 22177430 23076515 24395173 28225820 31048402 44354860 46153030 48790346 62096804 77621005 92306060 97580692 121975865 155242010 170766211 243951730 310484020 341532422 487903460 683064844 853831055 1707662110 3415324220