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3074000 = 24532953
BaseRepresentation
bin1011101110011111010000
312210011201212
423232133100
51241332000
6145515252
735062046
oct13563720
95704655
103074000
11180a5a6
121042b28
13838247
145a0396
1540ac35
hex2ee7d0

3074000 has 80 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 1164800.

The previous prime is 3073999. The next prime is 3074009. The reversal of 3074000 is 4703.

It can be written as a sum of positive squares in 8 ways, for example, as 652864 + 2421136 = 808^2 + 1556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57974 + ... + 58026.

It is an arithmetic number, because the mean of its divisors is an integer number (97929).

Almost surely, 23074000 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 3074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

3074000 is an abundant number, since it is smaller than the sum of its proper divisors (4760320).

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

3074000 is a wasteful number, since it uses less digits than its factorization.

3074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 3074000 is about 1753.2826355154. The cubic root of 3074000 is about 145.4011878154.

Adding to 3074000 its reverse (4703), we get a palindrome (3078703).

The spelling of 3074000 in words is "three million, seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 53 58 80 100 106 116 125 145 200 212 232 250 265 290 400 424 464 500 530 580 725 848 1000 1060 1160 1325 1450 1537 2000 2120 2320 2650 2900 3074 3625 4240 5300 5800 6148 6625 7250 7685 10600 11600 12296 13250 14500 15370 21200 24592 26500 29000 30740 38425 53000 58000 61480 76850 106000 122960 153700 192125 307400 384250 614800 768500 1537000 3074000