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3441900 = 22352711149
BaseRepresentation
bin1101001000010011101100
320110212101210
431020103230
51340120100
6201434420
741153460
oct15102354
96425353
103441900
111a40a50
12119ba10
13936837
146584a0
1547ec50
hex3484ec

3441900 has 144 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 710400.

The previous prime is 3441887. The next prime is 3441901. The reversal of 3441900 is 91443.

It is a super-2 number, since 2×34419002 = 23693351220000, which contains 22 as substring.

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 (3441901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23026 + ... + 23174.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

Almost surely, 23441900 is an apocalyptic number.

3441900 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 3441900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

3441900 is an abundant number, since it is smaller than the sum of its proper divisors (9057300).

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

3441900 is a wasteful number, since it uses less digits than its factorization.

3441900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3441900 is about 1855.2358340653. The cubic root of 3441900 is about 150.9846336131.

The spelling of 3441900 in words is "three million, four hundred forty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 149 150 154 165 175 210 220 231 275 298 300 308 330 350 385 420 447 462 525 550 596 660 700 745 770 825 894 924 1043 1050 1100 1155 1490 1540 1639 1650 1788 1925 2086 2100 2235 2310 2980 3129 3278 3300 3725 3850 4172 4470 4620 4917 5215 5775 6258 6556 7450 7700 8195 8940 9834 10430 11175 11473 11550 12516 14900 15645 16390 19668 20860 22350 22946 23100 24585 26075 31290 32780 34419 40975 44700 45892 49170 52150 57365 62580 68838 78225 81950 98340 104300 114730 122925 137676 156450 163900 172095 229460 245850 286825 312900 344190 491700 573650 688380 860475 1147300 1720950 3441900