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3000348 = 2233132137
BaseRepresentation
bin1011011100100000011100
312122102201000
423130200130
51232002343
6144150300
734334241
oct13344034
95572630
103000348
11176a22a
121008390
13810870
145815c8
153e3ed3
hex2dc81c

3000348 has 48 divisors (see below), whose sum is σ = 8380960. Its totient is φ = 922752.

The previous prime is 3000343. The next prime is 3000359. The reversal of 3000348 is 8430003.

It is a super-2 number, since 2×30003482 = 18004176242208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 3000348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336 + ... + 2472.

Almost surely, 23000348 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 3000348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190480).

3000348 is an abundant number, since it is smaller than the sum of its proper divisors (5380612).

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

3000348 is a wasteful number, since it uses less digits than its factorization.

3000348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3000348 is about 1732.1512636026. The cubic root of 3000348 is about 144.2305335135.

The spelling of 3000348 in words is "three million, three hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2137 4274 6411 8548 12822 19233 25644 27781 38466 55562 57699 76932 83343 111124 115398 166686 230796 250029 333372 500058 750087 1000116 1500174 3000348