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3424260 = 2235731263
BaseRepresentation
bin1101000100000000000100
320102222012110
431010000010
51334034020
6201221020
741051160
oct15040004
96388173
103424260
111a29774
121191770
1392b7b8
14651ca0
154798e0
hex344004

3424260 has 96 divisors (see below), whose sum is σ = 11354112. Its totient is φ = 754560.

The previous prime is 3424249. The next prime is 3424261. The reversal of 3424260 is 624243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3424261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12889 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (118272).

Almost surely, 23424260 is an apocalyptic number.

3424260 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 3424260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677056).

3424260 is an abundant number, since it is smaller than the sum of its proper divisors (7929852).

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

3424260 is a wasteful number, since it uses less digits than its factorization.

3424260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

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

The square root of 3424260 is about 1850.4756145381. The cubic root of 3424260 is about 150.7262557863.

The spelling of 3424260 in words is "three million, four hundred twenty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 263 310 372 420 434 465 526 620 651 789 868 930 1052 1085 1302 1315 1578 1841 1860 2170 2604 2630 3156 3255 3682 3945 4340 5260 5523 6510 7364 7890 8153 9205 11046 13020 15780 16306 18410 22092 24459 27615 32612 36820 40765 48918 55230 57071 81530 97836 110460 114142 122295 163060 171213 228284 244590 285355 342426 489180 570710 684852 856065 1141420 1712130 3424260