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3314433440 = 25541539533
BaseRepresentation
bin1100010110001110…
…0011110110100000
322112222200122221002
43011203203312200
523241443332230
61304515451132
7145064135153
oct30543436640
98488618832
103314433440
111450a0299a
12785bb6aa8
1340a896b26
14236295c9a
15145ea4545
hexc58e3da0

3314433440 has 96 divisors (see below), whose sum is σ = 8173536336. Its totient is φ = 1268899840.

The previous prime is 3314433389. The next prime is 3314433487. The reversal of 3314433440 is 443344133.

It can be written as a sum of positive squares in 8 ways, for example, as 423865744 + 2890567696 = 20588^2 + 53764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342914 + ... + 352446.

Almost surely, 23314433440 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 3314433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086768168).

3314433440 is an abundant number, since it is smaller than the sum of its proper divisors (4859102896).

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

3314433440 is a wasteful number, since it uses less digits than its factorization.

3314433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

The square root of 3314433440 is about 57571.1163692350. The cubic root of 3314433440 is about 1490.9729603089.

Adding to 3314433440 its reverse (443344133), we get a palindrome (3757777573).

The spelling of 3314433440 in words is "three billion, three hundred fourteen million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 53 80 82 106 160 164 205 212 265 328 410 424 530 656 820 848 1060 1312 1640 1696 2120 2173 3280 4240 4346 6560 8480 8692 9533 10865 17384 19066 21730 34768 38132 43460 47665 69536 76264 86920 95330 152528 173840 190660 305056 347680 381320 390853 505249 762640 781706 1010498 1525280 1563412 1954265 2020996 2526245 3126824 3908530 4041992 5052490 6253648 7817060 8083984 10104980 12507296 15634120 16167968 20209960 20715209 31268240 40419920 41430418 62536480 80839840 82860836 103576045 165721672 207152090 331443344 414304180 662886688 828608360 1657216720 3314433440