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3041400 = 2335237137
BaseRepresentation
bin1011100110100001111000
312201112000110
423212201320
51234311100
6145104320
734565025
oct13464170
95645013
103041400
11179805a
1210280a0
1382645b
1459254c
15401250
hex2e6878

3041400 has 96 divisors (see below), whose sum is σ = 9753840. Its totient is φ = 783360.

The previous prime is 3041393. The next prime is 3041407. The reversal of 3041400 is 41403.

3041400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3041393) and next prime (3041407).

It is a super-2 number, since 2×30414002 = 18500227920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3041407) by changing a digit.

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, 22132 + ... + 22268.

Almost surely, 23041400 is an apocalyptic number.

3041400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876920).

3041400 is an abundant number, since it is smaller than the sum of its proper divisors (6712440).

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

3041400 is a wasteful number, since it uses less digits than its factorization.

3041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3041400 is about 1743.9610087384. The cubic root of 3041400 is about 144.8853632170.

Adding to 3041400 its reverse (41403), we get a palindrome (3082803).

The spelling of 3041400 in words is "three million, forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 137 148 150 185 200 222 274 296 300 370 411 444 548 555 600 685 740 822 888 925 1096 1110 1370 1480 1644 1850 2055 2220 2740 2775 3288 3425 3700 4110 4440 5069 5480 5550 6850 7400 8220 10138 10275 11100 13700 15207 16440 20276 20550 22200 25345 27400 30414 40552 41100 50690 60828 76035 82200 101380 121656 126725 152070 202760 253450 304140 380175 506900 608280 760350 1013800 1520700 3041400