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3061320 = 233597263
BaseRepresentation
bin1011101011011001001000
312202112100020
423223121020
51240430240
6145340440
735010063
oct13533110
95675306
103061320
111801019
121037720
13832542
145998da
154070d0
hex2eb648

3061320 has 64 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 804864.

The previous prime is 3061313. The next prime is 3061321. The reversal of 3061320 is 231603.

3061320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3061320.

It is not an unprimeable number, because it can be changed into a prime (3061321) 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 15 ways as a sum of consecutive naturals, for example, 11509 + ... + 11771.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

Almost surely, 23061320 is an apocalyptic number.

3061320 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 3061320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3061320 is an abundant number, since it is smaller than the sum of its proper divisors (6252600).

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

3061320 is a wasteful number, since it uses less digits than its factorization.

3061320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3061320 is about 1749.6628246608. The cubic root of 3061320 is about 145.2009896039.

Adding to 3061320 its reverse (231603), we get a palindrome (3292923).

The spelling of 3061320 in words is "three million, sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 263 291 388 485 526 582 776 789 970 1052 1164 1315 1455 1578 1940 2104 2328 2630 2910 3156 3880 3945 5260 5820 6312 7890 10520 11640 15780 25511 31560 51022 76533 102044 127555 153066 204088 255110 306132 382665 510220 612264 765330 1020440 1530660 3061320