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5340403224 = 23361370439
BaseRepresentation
bin1001111100101000…
…00001011000011000
3111210011220121000000
410332110001120120
541414120400344
62241531213000
7246224451462
oct47624013030
914704817000
105340403224
1122a0577a92
1210505a7160
13671534910
14389391132
15213c96a69
hex13e501618

5340403224 has 112 divisors (see below), whose sum is σ = 16168093200. Its totient is φ = 1643177664.

The previous prime is 5340403223. The next prime is 5340403241. The reversal of 5340403224 is 4223040435.

5340403224 is a `hidden beast` number, since 5 + 34 + 0 + 403 + 224 = 666.

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 (5340403223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40597 + ... + 111035.

It is an arithmetic number, because the mean of its divisors is an integer number (144357975).

Almost surely, 25340403224 is an apocalyptic number.

5340403224 is a gapful number since it is divisible by the number (54) 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 5340403224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084046600).

5340403224 is an abundant number, since it is smaller than the sum of its proper divisors (10827689976).

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

5340403224 is a wasteful number, since it uses less digits than its factorization.

5340403224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70476 (or 70457 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 5340403224 is about 73078.0625358938. The cubic root of 5340403224 is about 1747.9326033916.

Adding to 5340403224 its reverse (4223040435), we get a palindrome (9563443659).

The spelling of 5340403224 in words is "five billion, three hundred forty million, four hundred three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2808 2916 3159 4212 5832 6318 8424 9477 12636 18954 25272 37908 70439 75816 140878 211317 281756 422634 563512 633951 845268 915707 1267902 1690536 1831414 1901853 2535804 2747121 3662828 3803706 5071608 5494242 5705559 7325656 7607412 8241363 10988484 11411118 15214824 16482726 17116677 21976968 22822236 24724089 32965452 34233354 45644472 49448178 51350031 65930904 68466708 74172267 98896356 102700062 136933416 148344534 197792712 205400124 222516801 296689068 410800248 445033602 593378136 667550403 890067204 1335100806 1780134408 2670201612 5340403224