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2104434320 = 245711632273
BaseRepresentation
bin111110101101111…
…0001111010010000
312102122212100011212
41331123301322100
513302213344240
6544453155252
7103102253012
oct17533617220
95378770155
102104434320
1198a99771a
124a892bb28
13276cb1311
1415d6c21b2
15c4b41165
hex7d6f1e90

2104434320 has 80 divisors (see below), whose sum is σ = 4994358912. Its totient is φ = 824463360.

The previous prime is 2104434313. The next prime is 2104434337. The reversal of 2104434320 is 234344012.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924704 + ... + 926976.

Almost surely, 22104434320 is an apocalyptic number.

2104434320 is a gapful number since it is divisible by the number (20) 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 2104434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497179456).

2104434320 is an abundant number, since it is smaller than the sum of its proper divisors (2889924592).

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

2104434320 is a wasteful number, since it uses less digits than its factorization.

2104434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2104434320 is about 45874.1138334028. The cubic root of 2104434320 is about 1281.4798801646.

Adding to 2104434320 its reverse (234344012), we get a palindrome (2338778332).

The spelling of 2104434320 in words is "two billion, one hundred four million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 163 284 326 355 568 652 710 815 1136 1304 1420 1630 2273 2608 2840 3260 4546 5680 6520 9092 11365 11573 13040 18184 22730 23146 36368 45460 46292 57865 90920 92584 115730 161383 181840 185168 231460 322766 370499 462920 645532 740998 806915 925840 1291064 1481996 1613830 1852495 2582128 2963992 3227660 3704990 5927984 6455320 7409980 12910640 14819960 26305429 29639920 52610858 105221716 131527145 210443432 263054290 420886864 526108580 1052217160 2104434320