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5341440 = 283513107
BaseRepresentation
bin10100011000000100000000
3101001101002010
4110120010000
52331411230
6310252520
763254466
oct24300400
911041063
105341440
113019115
121957140
131150320
149d0836
157079b0
hex518100

5341440 has 144 divisors (see below), whose sum is σ = 18543168. Its totient is φ = 1302528.

The previous prime is 5341433. The next prime is 5341463. The reversal of 5341440 is 441435.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49867 + ... + 49973.

It is an arithmetic number, because the mean of its divisors is an integer number (128772).

Almost surely, 25341440 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 5341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271584).

5341440 is an abundant number, since it is smaller than the sum of its proper divisors (13201728).

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

5341440 is a wasteful number, since it uses less digits than its factorization.

5341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5341440 is about 2311.1555551282. The cubic root of 5341440 is about 174.8045709540.

Adding to 5341440 its reverse (441435), we get a palindrome (5782875).

The spelling of 5341440 in words is "five million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 107 120 128 130 156 160 192 195 208 214 240 256 260 312 320 321 384 390 416 428 480 520 535 624 640 642 768 780 832 856 960 1040 1070 1248 1280 1284 1391 1560 1605 1664 1712 1920 2080 2140 2496 2568 2782 3120 3210 3328 3424 3840 4160 4173 4280 4992 5136 5564 6240 6420 6848 6955 8320 8346 8560 9984 10272 11128 12480 12840 13696 13910 16640 16692 17120 20544 20865 22256 24960 25680 27392 27820 33384 34240 41088 41730 44512 49920 51360 55640 66768 68480 82176 83460 89024 102720 111280 133536 136960 166920 178048 205440 222560 267072 333840 356096 410880 445120 534144 667680 890240 1068288 1335360 1780480 2670720 5341440