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3443940 = 2232519253
BaseRepresentation
bin1101001000110011100100
320110222012100
431020303210
51340201230
6201452100
741162433
oct15106344
96428170
103443940
111a42535
1211a1030
13937746
1465911a
15480660
hex348ce4

3443940 has 108 divisors (see below), whose sum is σ = 11233404. Its totient is φ = 853632.

The previous prime is 3443933. The next prime is 3443963. The reversal of 3443940 is 493443.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 1572516 = 1368^2 + 1254^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64954 + ... + 65006.

It is an arithmetic number, because the mean of its divisors is an integer number (104013).

Almost surely, 23443940 is an apocalyptic number.

3443940 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 3443940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616702).

3443940 is an abundant number, since it is smaller than the sum of its proper divisors (7789464).

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

3443940 is a wasteful number, since it uses less digits than its factorization.

3443940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3443940 is about 1855.7855479554. The cubic root of 3443940 is about 151.0144570460.

The spelling of 3443940 in words is "three million, four hundred forty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 228 265 285 318 342 361 380 477 530 570 636 684 722 795 855 954 1007 1060 1083 1140 1444 1590 1710 1805 1908 2014 2166 2385 3021 3180 3249 3420 3610 4028 4332 4770 5035 5415 6042 6498 7220 9063 9540 10070 10830 12084 12996 15105 16245 18126 19133 20140 21660 30210 32490 36252 38266 45315 57399 60420 64980 76532 90630 95665 114798 172197 181260 191330 229596 286995 344394 382660 573990 688788 860985 1147980 1721970 3443940