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5384340 = 2233513259
BaseRepresentation
bin10100100010100010010100
3101010112221000
4110202202110
52334244330
6311223300
763523533
oct24424224
911115830
105384340
113048375
121977b30
131166a00
14a0231a
15715560
hex522894

5384340 has 144 divisors (see below), whose sum is σ = 18446400. Its totient is φ = 1302912.

The previous prime is 5384339. The next prime is 5384341. The reversal of 5384340 is 434835.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5384339) and next prime (5384341).

It is a super-2 number, since 2×53843402 = 57982234471200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5384341) 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, 91231 + ... + 91289.

It is an arithmetic number, because the mean of its divisors is an integer number (128100).

Almost surely, 25384340 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 5384340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223200).

5384340 is an abundant number, since it is smaller than the sum of its proper divisors (13062060).

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

5384340 is a wasteful number, since it uses less digits than its factorization.

5384340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5384340 is about 2320.4180657804. The cubic root of 5384340 is about 175.2713070594.

The spelling of 5384340 in words is "five million, three hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 59 60 65 78 90 108 117 118 130 135 156 169 177 180 195 234 236 260 270 295 338 351 354 390 468 507 531 540 585 590 676 702 708 767 780 845 885 1014 1062 1170 1180 1404 1521 1534 1593 1690 1755 1770 2028 2124 2301 2340 2535 2655 3042 3068 3186 3380 3510 3540 3835 4563 4602 5070 5310 6084 6372 6903 7020 7605 7670 7965 9126 9204 9971 10140 10620 11505 13806 15210 15340 15930 18252 19942 20709 22815 23010 27612 29913 30420 31860 34515 39884 41418 45630 46020 49855 59826 69030 82836 89739 91260 99710 103545 119652 138060 149565 179478 199420 207090 269217 299130 358956 414180 448695 538434 598260 897390 1076868 1346085 1794780 2692170 5384340