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3364143412 = 227253615309
BaseRepresentation
bin1100100010000100…
…1100000100110100
322200110020012012011
43020201030010310
523342210042122
61313453134004
7146236514200
oct31041140464
98613205164
103364143412
111476a75813
1279a78a304
13417c80206
1423cb15b00
1514a523377
hexc884c134

3364143412 has 72 divisors (see below), whose sum is σ = 7093374120. Its totient is φ = 1391120640.

The previous prime is 3364143403. The next prime is 3364143437. The reversal of 3364143412 is 2143414633.

It can be written as a sum of positive squares in 4 ways, for example, as 83832336 + 3280311076 = 9156^2 + 57274^2 .

It is a super-2 number, since 2×33641434122 = 22634921793006003488, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 631014 + ... + 636322.

It is an arithmetic number, because the mean of its divisors is an integer number (98519085).

Almost surely, 23364143412 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 3364143412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546687060).

3364143412 is an abundant number, since it is smaller than the sum of its proper divisors (3729230708).

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

3364143412 is a wasteful number, since it uses less digits than its factorization.

3364143412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5432 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 3364143412 is about 58001.2362971687. The cubic root of 3364143412 is about 1498.3898889058.

The spelling of 3364143412 in words is "three billion, three hundred sixty-four million, one hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 49 53 61 98 106 122 196 212 244 371 427 742 854 1484 1708 2597 2989 3233 5194 5309 5978 6466 10388 10618 11956 12932 21236 22631 37163 45262 74326 90524 148652 158417 260141 281377 316834 323849 520282 562754 633668 647698 1040564 1125508 1295396 1969639 2266943 3939278 4533886 7878556 9067772 13787473 15868601 17163997 27574946 31737202 34327994 55149892 63474404 68655988 120147979 240295958 480591916 841035853 1682071706 3364143412