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3104320 = 26589109
BaseRepresentation
bin1011110101111001000000
312211201022211
423311321000
51243314240
6150311504
735246332
oct13657100
95751284
103104320
11183035a
121058594
13848c9b
145ab452
15414bea
hex2f5e40

3104320 has 56 divisors (see below), whose sum is σ = 7543800. Its totient is φ = 1216512.

The previous prime is 3104293. The next prime is 3104327. The reversal of 3104320 is 234013.

3104320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 2903616 = 448^2 + 1704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3104320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3104327) 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 7 ways as a sum of consecutive naturals, for example, 28426 + ... + 28534.

Almost surely, 23104320 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 3104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771900).

3104320 is an abundant number, since it is smaller than the sum of its proper divisors (4439480).

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

3104320 is a wasteful number, since it uses less digits than its factorization.

3104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3104320 is about 1761.9080566250. The cubic root of 3104320 is about 145.8776732293.

Adding to 3104320 its reverse (234013), we get a palindrome (3338333).

The spelling of 3104320 in words is "three million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 109 160 178 218 320 356 436 445 545 712 872 890 1090 1424 1744 1780 2180 2848 3488 3560 4360 5696 6976 7120 8720 9701 14240 17440 19402 28480 34880 38804 48505 77608 97010 155216 194020 310432 388040 620864 776080 1552160 3104320