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3034320 = 243547269
BaseRepresentation
bin1011100100110011010000
312201011022020
423210303100
51234044240
6145011440
734535262
oct13446320
95634266
103034320
111792803
121023b80
13823173
1458db32
153ee0d0
hex2e4cd0

3034320 has 80 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 788992.

The previous prime is 3034307. The next prime is 3034331. The reversal of 3034320 is 234303.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3034320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11146 + ... + 11414.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

Almost surely, 23034320 is an apocalyptic number.

3034320 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 3034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

3034320 is an abundant number, since it is smaller than the sum of its proper divisors (6607920).

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

3034320 is a wasteful number, since it uses less digits than its factorization.

3034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3034320 is about 1741.9299641490. The cubic root of 3034320 is about 144.7728508464.

Adding to 3034320 its reverse (234303), we get a palindrome (3268623).

The spelling of 3034320 in words is "three million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 269 282 376 470 538 564 705 752 807 940 1076 1128 1345 1410 1614 1880 2152 2256 2690 2820 3228 3760 4035 4304 5380 5640 6456 8070 10760 11280 12643 12912 16140 21520 25286 32280 37929 50572 63215 64560 75858 101144 126430 151716 189645 202288 252860 303432 379290 505720 606864 758580 1011440 1517160 3034320