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2604340053 = 33723783641
BaseRepresentation
bin1001101100111011…
…0001001101010101
320201111112011221000
42123032301031111
520313202340203
61110232013513
7121352345100
oct23316611525
96644464830
102604340053
11111709a257
12608231299
13326732523
141a9c51737
1510398b4a3
hex9b3b1355

2604340053 has 96 divisors (see below), whose sum is σ = 4672321920. Its totient is φ = 1428295680.

The previous prime is 2604340027. The next prime is 2604340061. The reversal of 2604340053 is 3500434062.

2604340053 is a `hidden beast` number, since 2 + 604 + 3 + 4 + 0 + 0 + 53 = 666.

It is not a de Polignac number, because 2604340053 - 28 = 2604339797 is a prime.

It is a super-2 number, since 2×26043400532 = 13565174223320085618, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2604339999 and 2604340026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2604340003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062613 + ... + 4063253.

It is an arithmetic number, because the mean of its divisors is an integer number (48670020).

Almost surely, 22604340053 is an apocalyptic number.

It is an amenable number.

2604340053 is a deficient number, since it is larger than the sum of its proper divisors (2067981867).

2604340053 is a wasteful number, since it uses less digits than its factorization.

2604340053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2604340053 is about 51032.7351118868. The cubic root of 2604340053 is about 1375.8335535116.

The spelling of 2604340053 in words is "two billion, six hundred four million, three hundred forty thousand, fifty-three".

Divisors: 1 3 7 9 21 27 37 49 63 83 111 147 189 249 259 333 441 581 641 747 777 999 1323 1743 1813 1923 2241 2331 3071 4067 4487 5229 5439 5769 6993 9213 12201 13461 15687 16317 17307 21497 23717 27639 31409 36603 40383 48951 53203 64491 71151 82917 94227 109809 121149 150479 159609 166019 193473 213453 282681 372421 451437 478827 498057 580419 640359 848043 1117263 1162133 1354311 1436481 1494171 1968511 2606947 3351789 3486399 4062933 4482513 5905533 7820841 10055367 10459197 13779577 17716599 23462523 31377591 41338731 53149797 70387569 96457039 124016193 289371117 372048579 868113351 2604340053