Search a number
-
+
3442320 = 243257683
BaseRepresentation
bin1101001000011010010000
320110212222100
431020122100
51340123240
6201440400
741154630
oct15103220
96425870
103442320
111a412a2
1211a0100
13936a9b
146586c0
1547ee30
hex348690

3442320 has 120 divisors (see below), whose sum is σ = 13231296. Its totient is φ = 785664.

The previous prime is 3442301. The next prime is 3442331. The reversal of 3442320 is 232443.

3442320 is a `hidden beast` number, since 344 + 2 + 320 = 666.

3442320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3442293 and 3442302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4699 + ... + 5381.

Almost surely, 23442320 is an apocalyptic number.

3442320 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 3442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615648).

3442320 is an abundant number, since it is smaller than the sum of its proper divisors (9788976).

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

3442320 is a wasteful number, since it uses less digits than its factorization.

3442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3442320 is about 1855.3490237688. The cubic root of 3442320 is about 150.9907746948.

Adding to 3442320 its reverse (232443), we get a palindrome (3674763).

It can be divided in two parts, 34423 and 20, that added together give a palindrome (34443).

The spelling of 3442320 in words is "three million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 683 720 840 1008 1260 1366 1680 2049 2520 2732 3415 4098 4781 5040 5464 6147 6830 8196 9562 10245 10928 12294 13660 14343 16392 19124 20490 23905 24588 27320 28686 30735 32784 38248 40980 43029 47810 49176 54640 57372 61470 71715 76496 81960 86058 95620 98352 114744 122940 143430 163920 172116 191240 215145 229488 245880 286860 344232 382480 430290 491760 573720 688464 860580 1147440 1721160 3442320