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3354864912 = 2433710310771
BaseRepresentation
bin1100011111110111…
…0010110100010000
322122210202210111000
43013331302310100
523332321134122
61312522222000
7146064611160
oct30775626420
98583683430
103354864912
111471808733
12797654900
13416081b89
1423b7bc5a0
151497de0ac
hexc7f72d10

3354864912 has 160 divisors (see below), whose sum is σ = 11113256960. Its totient is φ = 949138560.

The previous prime is 3354864899. The next prime is 3354864923. The reversal of 3354864912 is 2194684533.

3354864912 is a `hidden beast` number, since 33 + 54 + 86 + 491 + 2 = 666.

It is a super-2 number, since 2×33548649122 = 22510237155537535488, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 306087 + ... + 316857.

It is an arithmetic number, because the mean of its divisors is an integer number (69457856).

Almost surely, 23354864912 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 3354864912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556628480).

3354864912 is an abundant number, since it is smaller than the sum of its proper divisors (7758392048).

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

3354864912 is a wasteful number, since it uses less digits than its factorization.

3354864912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10898 (or 10886 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 3354864912 is about 57921.1957058899. The cubic root of 3354864912 is about 1497.0110721628.

The spelling of 3354864912 in words is "three billion, three hundred fifty-four million, eight hundred sixty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 103 108 112 126 144 168 189 206 216 252 309 336 378 412 432 504 618 721 756 824 927 1008 1236 1442 1512 1648 1854 2163 2472 2781 2884 3024 3708 4326 4944 5562 5768 6489 7416 8652 10771 11124 11536 12978 14832 17304 19467 21542 22248 25956 32313 34608 38934 43084 44496 51912 64626 75397 77868 86168 96939 103824 129252 150794 155736 172336 193878 226191 258504 290817 301588 311472 387756 452382 517008 581634 603176 678573 775512 904764 1109413 1163268 1206352 1357146 1551024 1809528 2035719 2218826 2326536 2714292 3328239 3619056 4071438 4437652 4653072 5428584 6656478 7765891 8142876 8875304 9984717 10857168 13312956 15531782 16285752 17750608 19969434 23297673 26625912 29954151 31063564 32571504 39938868 46595346 53251824 59908302 62127128 69893019 79877736 93190692 119816604 124254256 139786038 159755472 186381384 209679057 239633208 279572076 372762768 419358114 479266416 559144152 838716228 1118288304 1677432456 3354864912