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3440064 = 263192341
BaseRepresentation
bin1101000111110111000000
320110202212210
431013313000
51340040224
6201422120
741145225
oct15076700
96422783
103440064
111a3a631
12119a940
13935a54
1465794c
1547e429
hex347dc0

3440064 has 112 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 1013760.

The previous prime is 3440053. The next prime is 3440077. The reversal of 3440064 is 4600443.

3440064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3440064.

It is a congruent number.

It is an unprimeable number.

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, 83884 + ... + 83924.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

Almost surely, 23440064 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 3440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

3440064 is an abundant number, since it is smaller than the sum of its proper divisors (6801216).

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

3440064 is a wasteful number, since it uses less digits than its factorization.

3440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3440064 is about 1854.7409522626. The cubic root of 3440064 is about 150.9577824464.

The spelling of 3440064 in words is "three million, four hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 41 46 48 57 64 69 76 82 92 96 114 123 138 152 164 184 192 228 246 276 304 328 368 437 456 492 552 608 656 736 779 874 912 943 984 1104 1216 1311 1312 1472 1558 1748 1824 1886 1968 2208 2337 2622 2624 2829 3116 3496 3648 3772 3936 4416 4674 5244 5658 6232 6992 7544 7872 9348 10488 11316 12464 13984 15088 17917 18696 20976 22632 24928 27968 30176 35834 37392 41952 45264 49856 53751 60352 71668 74784 83904 90528 107502 143336 149568 181056 215004 286672 430008 573344 860016 1146688 1720032 3440064