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2303405040 = 2435291731913
BaseRepresentation
bin1000100101001011…
…0010101111110000
312221112021002200210
42021102302233300
514204132430130
61020321544120
7111036422406
oct21122625760
95845232623
102303405040
11a82237332
125434a5040
132a9297c81
1417bcb7476
15d73455b0
hex894b2bf0

2303405040 has 160 divisors (see below), whose sum is σ = 7433363520. Its totient is φ = 589324288.

The previous prime is 2303405029. The next prime is 2303405053. The reversal of 2303405040 is 405043032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2303404998 and 2303405016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203124 + ... + 1205036.

It is an arithmetic number, because the mean of its divisors is an integer number (46458522).

Almost surely, 22303405040 is an apocalyptic number.

2303405040 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 2303405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716681760).

2303405040 is an abundant number, since it is smaller than the sum of its proper divisors (5129958480).

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

2303405040 is a wasteful number, since it uses less digits than its factorization.

2303405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2303405040 is about 47993.8020998545. The cubic root of 2303405040 is about 1320.6572025811.

Adding to 2303405040 its reverse (405043032), we get a palindrome (2708448072).

The spelling of 2303405040 in words is "two billion, three hundred three million, four hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 173 174 232 240 290 346 348 435 464 519 580 692 696 865 870 1038 1160 1384 1392 1730 1740 1913 2076 2320 2595 2768 3460 3480 3826 4152 5017 5190 5739 6920 6960 7652 8304 9565 10034 10380 11478 13840 15051 15304 19130 20068 20760 22956 25085 28695 30102 30608 38260 40136 41520 45912 50170 55477 57390 60204 75255 76520 80272 91824 100340 110954 114780 120408 150510 153040 166431 200680 221908 229560 240816 277385 301020 330949 332862 401360 443816 459120 554770 602040 661898 665724 832155 887632 992847 1109540 1204080 1323796 1331448 1654745 1664310 1985694 2219080 2647592 2662896 3309490 3328620 3971388 4438160 4964235 5295184 6618980 6657240 7942776 9597521 9928470 13237960 13314480 15885552 19195042 19856940 26475920 28792563 38390084 39713880 47987605 57585126 76780168 79427760 95975210 115170252 143962815 153560336 191950420 230340504 287925630 383900840 460681008 575851260 767801680 1151702520 2303405040