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5343984 = 2432173759
BaseRepresentation
bin10100011000101011110000
3101001111120100
4110120223300
52332001414
6310312400
763265062
oct24305360
911044510
105343984
113020018
121958700
131151529
149d1732
15708609
hex518af0

5343984 has 120 divisors (see below), whose sum is σ = 16539120. Its totient is φ = 1603584.

The previous prime is 5343983. The next prime is 5344007. The reversal of 5343984 is 4893435.

5343984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5343983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90547 + ... + 90605.

It is an arithmetic number, because the mean of its divisors is an integer number (137826).

Almost surely, 25343984 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 5343984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8269560).

5343984 is an abundant number, since it is smaller than the sum of its proper divisors (11195136).

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

5343984 is a wasteful number, since it uses less digits than its factorization.

5343984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5343984 is about 2311.7058636427. The cubic root of 5343984 is about 174.8323182934.

The spelling of 5343984 in words is "five million, three hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 59 68 72 74 102 111 118 136 144 148 153 177 204 222 236 272 296 306 333 354 408 444 472 531 592 612 629 666 708 816 888 944 1003 1062 1224 1258 1332 1416 1776 1887 2006 2124 2183 2448 2516 2664 2832 3009 3774 4012 4248 4366 5032 5328 5661 6018 6549 7548 8024 8496 8732 9027 10064 11322 12036 13098 15096 16048 17464 18054 19647 22644 24072 26196 30192 34928 36108 37111 39294 45288 48144 52392 72216 74222 78588 90576 104784 111333 144432 148444 157176 222666 296888 314352 333999 445332 593776 667998 890664 1335996 1781328 2671992 5343984