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2604341430 = 233573229577
BaseRepresentation
bin1001101100111011…
…0001100010110110
320201111112020211000
42123032301202312
520313202411210
61110232024130
7121352352105
oct23316614266
96644466730
102604341430
1111170a0299
12608232046
13326733042
141a9c5203c
1510398bac0
hex9b3b18b6

2604341430 has 128 divisors (see below), whose sum is σ = 7083043200. Its totient is φ = 680804352.

The previous prime is 2604341429. The next prime is 2604341449. The reversal of 2604341430 is 341434062.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2604341394 and 2604341403.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4513302 + ... + 4513878.

It is an arithmetic number, because the mean of its divisors is an integer number (55336275).

Almost surely, 22604341430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604341430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541521600).

2604341430 is an abundant number, since it is smaller than the sum of its proper divisors (4478701770).

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

2604341430 is a wasteful number, since it uses less digits than its factorization.

2604341430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2604341430 is about 51032.7486032254. The cubic root of 2604341430 is about 1375.8337959943.

Adding to 2604341430 its reverse (341434062), we get a palindrome (2945775492).

The spelling of 2604341430 in words is "two billion, six hundred four million, three hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 229 270 365 438 458 577 657 687 730 1095 1145 1154 1314 1374 1731 1971 2061 2190 2290 2885 3285 3435 3462 3942 4122 5193 5770 6183 6570 6870 8655 9855 10305 10386 12366 15579 16717 17310 19710 20610 25965 30915 31158 33434 42121 50151 51930 61830 77895 83585 84242 100302 126363 132133 150453 155790 167170 210605 250755 252726 264266 300906 379089 396399 421210 451359 501510 631815 660665 752265 758178 792798 902718 1137267 1189197 1263630 1321330 1504530 1895445 1981995 2256795 2274534 2378394 3567591 3790890 3963990 4513590 5686335 5945985 7135182 9645709 11372670 11891970 17837955 19291418 28937127 35675910 48228545 57874254 86811381 96457090 144685635 173622762 260434143 289371270 434056905 520868286 868113810 1302170715 2604341430