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3405215320 = 2351323212379
BaseRepresentation
bin1100101011110111…
…0111011001011000
322210022111212020221
43022331313121120
523433213342240
61321521325424
7150245565313
oct31275673130
98708455227
103405215320
111498178741
127b0496874
13423630910
1424436797a
1514de37a4a
hexcaf77658

3405215320 has 96 divisors (see below), whose sum is σ = 8626136400. Its totient is φ = 1202547456.

The previous prime is 3405215299. The next prime is 3405215393. The reversal of 3405215320 is 235125043.

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 23 ways as a sum of consecutive naturals, for example, 268891 + ... + 281269.

Almost surely, 23405215320 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 3405215320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313068200).

3405215320 is an abundant number, since it is smaller than the sum of its proper divisors (5220921080).

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

3405215320 is a wasteful number, since it uses less digits than its factorization.

3405215320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12422 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 3405215320 is about 58354.2228120639. Note that the first 3 decimals coincide. The cubic root of 3405215320 is about 1504.4630513155.

The spelling of 3405215320 in words is "three billion, four hundred five million, two hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 529 598 920 1058 1196 1495 2116 2392 2645 2990 4232 5290 5980 6877 10580 11960 12379 13754 21160 24758 27508 34385 49516 55016 61895 68770 99032 123790 137540 160927 247580 275080 284717 321854 495160 569434 643708 804635 1138868 1287416 1423585 1609270 2277736 2847170 3218540 3701321 5694340 6437080 6548491 7402642 11388680 13096982 14805284 18506605 26193964 29610568 32742455 37013210 52387928 65484910 74026420 85130383 130969820 148052840 170260766 261939640 340521532 425651915 681043064 851303830 1702607660 3405215320