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3364466224 = 24726170351
BaseRepresentation
bin1100100010001001…
…1010111000110000
322200110211121000011
43020202122320300
523342300404344
61313504104304
7146242330300
oct31042327060
98613747004
103364466224
1114771762a9
1279a905094
13418064122
1423cb9b600
1514a588d34
hexc889ae30

3364466224 has 60 divisors (see below), whose sum is σ = 7707343008. Its totient is φ = 1418256000.

The previous prime is 3364466213. The next prime is 3364466251. The reversal of 3364466224 is 4226644633.

It is a super-2 number, since 2×33644662242 = 22639265944873636352, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12649 + ... + 82999.

Almost surely, 23364466224 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 3364466224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853671504).

3364466224 is an abundant number, since it is smaller than the sum of its proper divisors (4342876784).

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

3364466224 is a wasteful number, since it uses less digits than its factorization.

3364466224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70434 (or 70421 counting only the distinct ones).

The product of its digits is 497664, while the sum is 40.

The square root of 3364466224 is about 58004.0190331670. The cubic root of 3364466224 is about 1498.4378142078.

The spelling of 3364466224 in words is "three billion, three hundred sixty-four million, four hundred sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 392 427 488 784 854 976 1708 2989 3416 5978 6832 11956 23912 47824 70351 140702 281404 492457 562808 984914 1125616 1969828 3447199 3939656 4291411 6894398 7879312 8582822 13788796 17165644 27577592 30039877 34331288 55155184 60079754 68662576 120159508 210279139 240319016 420558278 480638032 841116556 1682233112 3364466224