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5344320 = 263519293
BaseRepresentation
bin10100011000110001000000
3101001112000210
4110120301000
52332004240
6310314120
763266052
oct24306100
911045023
105344320
1130202a3
121958940
131151727
149d18d2
15708780
hex518c40

5344320 has 112 divisors (see below), whose sum is σ = 17922240. Its totient is φ = 1345536.

The previous prime is 5344291. The next prime is 5344331. The reversal of 5344320 is 234435.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18094 + ... + 18386.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 25344320 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 5344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961120).

5344320 is an abundant number, since it is smaller than the sum of its proper divisors (12577920).

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

5344320 is a wasteful number, since it uses less digits than its factorization.

5344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 5344320 is about 2311.7785361059. The cubic root of 5344320 is about 174.8359823780.

Adding to 5344320 its reverse (234435), we get a palindrome (5578755).

The spelling of 5344320 in words is "five million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 293 304 320 380 456 480 570 586 608 760 879 912 960 1140 1172 1216 1465 1520 1758 1824 2280 2344 2930 3040 3516 3648 4395 4560 4688 5567 5860 6080 7032 8790 9120 9376 11134 11720 14064 16701 17580 18240 18752 22268 23440 27835 28128 33402 35160 44536 46880 55670 56256 66804 70320 83505 89072 93760 111340 133608 140640 167010 178144 222680 267216 281280 334020 356288 445360 534432 668040 890720 1068864 1336080 1781440 2672160 5344320