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3014964 = 223289941
BaseRepresentation
bin1011100000000100110100
312200011202100
423200010310
51232434324
6144342100
734424661
oct13400464
95604670
103014964
11177a207
121014930
13817404
14586a68
153e84c9
hex2e0134

3014964 has 36 divisors (see below), whose sum is σ = 7714980. Its totient is φ = 992640.

The previous prime is 3014941. The next prime is 3014981. The reversal of 3014964 is 4694103.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 1822500 = 1092^2 + 1350^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2734 + ... + 3674.

It is an arithmetic number, because the mean of its divisors is an integer number (214305).

Almost surely, 23014964 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 3014964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857490).

3014964 is an abundant number, since it is smaller than the sum of its proper divisors (4700016).

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

3014964 is a wasteful number, since it uses less digits than its factorization.

3014964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3014964 is about 1736.3651689665. The cubic root of 3014964 is about 144.4643574563.

The spelling of 3014964 in words is "three million, fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 941 1068 1602 1882 2823 3204 3764 5646 8469 11292 16938 33876 83749 167498 251247 334996 502494 753741 1004988 1507482 3014964