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2324230040 = 23511231631409
BaseRepresentation
bin1000101010001000…
…1110111110011000
312222222110010020002
42022202032332120
514230000330130
61022344152132
7111411425606
oct21242167630
95888403202
102324230040
11a92a70480
1254a468648
132b06a9a62
14180978876
15d90aab45
hex8a88ef98

2324230040 has 128 divisors (see below), whose sum is σ = 5993740800. Its totient is φ = 802897920.

The previous prime is 2324230037. The next prime is 2324230087. The reversal of 2324230040 is 400324232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2324229994 and 2324230021.

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, 1648856 + ... + 1650264.

It is an arithmetic number, because the mean of its divisors is an integer number (46826100).

Almost surely, 22324230040 is an apocalyptic number.

2324230040 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 2324230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996870400).

2324230040 is an abundant number, since it is smaller than the sum of its proper divisors (3669510760).

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

2324230040 is a wasteful number, since it uses less digits than its factorization.

2324230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2324230040 is about 48210.2690305707. The cubic root of 2324230040 is about 1324.6252724586.

Adding to 2324230040 its reverse (400324232), we get a palindrome (2724554272).

The spelling of 2324230040 in words is "two billion, three hundred twenty-four million, two hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 163 184 220 230 253 326 440 460 506 652 815 920 1012 1265 1304 1409 1630 1793 2024 2530 2818 3260 3586 3749 5060 5636 6520 7045 7172 7498 8965 10120 11272 14090 14344 14996 15499 17930 18745 28180 29992 30998 32407 35860 37490 41239 56360 61996 64814 71720 74980 77495 82478 123992 129628 149960 154990 162035 164956 206195 229667 259256 309980 324070 329912 356477 412390 459334 619960 648140 712954 824780 918668 1148335 1296280 1425908 1649560 1782385 1837336 2296670 2526337 2851816 3564770 4593340 5052674 5282341 7129540 9186680 10105348 10564682 12631685 14259080 20210696 21129364 25263370 26411705 42258728 50526740 52823410 58105751 101053480 105646820 116211502 211293640 232423004 290528755 464846008 581057510 1162115020 2324230040