Search a number
-
+
2404034320 = 2451011132633
BaseRepresentation
bin1000111101001010…
…1010011100010000
320012112121121010011
42033102222130100
514410413044240
61034314444304
7113400645262
oct21722523420
96175547104
102404034320
111024018626
12571133694
132c409c01c
1418b3cdb32
15e10c16ea
hex8f4aa710

2404034320 has 80 divisors (see below), whose sum is σ = 5696836272. Its totient is φ = 943308800.

The previous prime is 2404034293. The next prime is 2404034363. The reversal of 2404034320 is 234304042.

It can be written as a sum of positive squares in 8 ways, for example, as 194658304 + 2209376016 = 13952^2 + 47004^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2404034291 and 2404034300.

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, 911724 + ... + 914356.

Almost surely, 22404034320 is an apocalyptic number.

2404034320 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 2404034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848418136).

2404034320 is an abundant number, since it is smaller than the sum of its proper divisors (3292801952).

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

2404034320 is a wasteful number, since it uses less digits than its factorization.

2404034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2404034320 is about 49030.9526727760. The cubic root of 2404034320 is about 1339.6156765212.

Adding to 2404034320 its reverse (234304042), we get a palindrome (2638338362).

The spelling of 2404034320 in words is "two billion, four hundred four million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 113 202 226 404 452 505 565 808 904 1010 1130 1616 1808 2020 2260 2633 4040 4520 5266 8080 9040 10532 11413 13165 21064 22826 26330 42128 45652 52660 57065 91304 105320 114130 182608 210640 228260 265933 297529 456520 531866 595058 913040 1063732 1190116 1329665 1487645 2127464 2380232 2659330 2975290 4254928 4760464 5318660 5950580 10637320 11901160 21274640 23802320 30050429 60100858 120201716 150252145 240403432 300504290 480806864 601008580 1202017160 2404034320