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3324146240 = 26521374861
BaseRepresentation
bin1100011000100010…
…0111001001000000
322120122222010101102
43012020213021000
523301440134430
61305503553532
7145242530312
oct30610471100
98518863342
103324146240
1114564372a8
127892bb8a8
1340c8b7a4c
142376a37b2
15146c72345
hexc6227240

3324146240 has 56 divisors (see below), whose sum is σ = 7920956472. Its totient is φ = 1328762880.

The previous prime is 3324146227. The next prime is 3324146291. The reversal of 3324146240 is 426414233.

It can be written as a sum of positive squares in 4 ways, for example, as 262958656 + 3061187584 = 16216^2 + 55328^2 .

It is a super-2 number, since 2×33241462402 = 22099896449812275200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681410 + ... + 686270.

Almost surely, 23324146240 is an apocalyptic number.

It is an amenable number.

3324146240 is an abundant number, since it is smaller than the sum of its proper divisors (4596810232).

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

3324146240 is a wasteful number, since it uses less digits than its factorization.

3324146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 3324146240 is about 57655.4094599978. The cubic root of 3324146240 is about 1492.4279499873.

The spelling of 3324146240 in words is "three billion, three hundred twenty-four million, one hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2137 4274 4861 8548 9722 10685 17096 19444 21370 24305 34192 38888 42740 48610 68384 77776 85480 97220 136768 155552 170960 194440 311104 341920 388880 683840 777760 1555520 10387957 20775914 41551828 51939785 83103656 103879570 166207312 207759140 332414624 415518280 664829248 831036560 1662073120 3324146240