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3341300424 = 2337112962347
BaseRepresentation
bin1100011100101000…
…0011001011001000
322121212020122111120
43013022003023020
523320333103144
61311315355240
7145541404440
oct30712031310
98555218446
103341300424
111465093510
12792bb2b20
13413312a57
14239a8b120
1514850ee19
hexc72832c8

3341300424 has 128 divisors (see below), whose sum is σ = 10773734400. Its totient is φ = 837930240.

The previous prime is 3341300419. The next prime is 3341300441. The reversal of 3341300424 is 4240031433.

It is a super-2 number, since 2×33413004242 = 22328577046845159552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3341300394 and 3341300403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22419 + ... + 84765.

It is an arithmetic number, because the mean of its divisors is an integer number (84169800).

Almost surely, 23341300424 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 3341300424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386867200).

3341300424 is an abundant number, since it is smaller than the sum of its proper divisors (7432433976).

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

3341300424 is a wasteful number, since it uses less digits than its factorization.

3341300424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62403 (or 62399 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3341300424 is about 57803.9827693560. The cubic root of 3341300424 is about 1494.9907605235.

Adding to 3341300424 its reverse (4240031433), we get a palindrome (7581331857).

The spelling of 3341300424 in words is "three billion, three hundred forty-one million, three hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 29 33 42 44 56 58 66 77 84 87 88 116 132 154 168 174 203 231 232 264 308 319 348 406 462 609 616 638 696 812 924 957 1218 1276 1624 1848 1914 2233 2436 2552 3828 4466 4872 6699 7656 8932 13398 17864 26796 53592 62347 124694 187041 249388 374082 436429 498776 685817 748164 872858 1309287 1371634 1496328 1745716 1808063 2057451 2618574 2743268 3491432 3616126 4114902 4800719 5237148 5424189 5486536 7232252 8229804 9601438 10474296 10848378 12656441 14402157 14464504 16459608 19202876 19888693 21696756 25312882 28804314 37969323 38405752 39777386 43393512 50625764 57608628 59666079 75938646 79554772 101251528 115217256 119332158 139220851 151877292 159109544 238664316 278441702 303754584 417662553 477328632 556883404 835325106 1113766808 1670650212 3341300424