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3361318344 = 233331607827
BaseRepresentation
bin1100100001011001…
…1010010111001000
322200020220122221000
43020112122113020
523340444141334
61313312415000
7146203506636
oct31026322710
98606818830
103361318344
11147541624a
12799847460
13417501387
1423c5bc356
1514a166299
hexc859a5c8

3361318344 has 128 divisors (see below), whose sum is σ = 9665740800. Its totient is φ = 1081200960.

The previous prime is 3361318321. The next prime is 3361318351. The reversal of 3361318344 is 4438131633.

3361318344 is a `hidden beast` number, since 3 + 3 + 613 + 1 + 8 + 34 + 4 = 666.

It is a super-2 number, since 2×33613183442 = 22596922019421804672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3361318299 and 3361318308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4064059 + ... + 4064885.

It is an arithmetic number, because the mean of its divisors is an integer number (75513600).

Almost surely, 23361318344 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 3361318344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832870400).

3361318344 is an abundant number, since it is smaller than the sum of its proper divisors (6304422456).

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

3361318344 is a wasteful number, since it uses less digits than its factorization.

3361318344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1470 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3361318344 is about 57976.8776668768. The cubic root of 3361318344 is about 1497.9703429001.

Adding to 3361318344 its reverse (4438131633), we get a palindrome (7799449977).

The spelling of 3361318344 in words is "three billion, three hundred sixty-one million, three hundred eighteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 607 744 827 837 1116 1214 1654 1674 1821 2232 2428 2481 3308 3348 3642 4856 4962 5463 6616 6696 7284 7443 9924 10926 14568 14886 16389 18817 19848 21852 22329 25637 29772 32778 37634 43704 44658 51274 56451 59544 65556 75268 76911 89316 102548 112902 131112 150536 153822 169353 178632 205096 225804 230733 307644 338706 451608 461466 501989 508059 615288 677412 692199 922932 1003978 1016118 1354824 1384398 1505967 1845864 2007956 2032236 2768796 3011934 4015912 4064472 4517901 5537592 6023868 9035802 12047736 13553703 15561659 18071604 27107406 31123318 36143208 46684977 54214812 62246636 93369954 108429624 124493272 140054931 186739908 280109862 373479816 420164793 560219724 840329586 1120439448 1680659172 3361318344