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2311029840 = 243574331991
BaseRepresentation
bin1000100110111111…
…1000010001010000
312222001121110221210
42021233320101100
514213110423330
61021153220120
7111161300220
oct21157702120
95861543853
102311029840
11a86574a19
12545b61640
132aaa376a2
1417cd00080
15d7d4e8b0
hex89bf8450

2311029840 has 160 divisors (see below), whose sum is σ = 8378320896. Its totient is φ = 515934720.

The previous prime is 2311029829. The next prime is 2311029887. The reversal of 2311029840 is 489201132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2311029798 and 2311029807.

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, 56245 + ... + 88235.

Almost surely, 22311029840 is an apocalyptic number.

2311029840 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 2311029840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189160448).

2311029840 is an abundant number, since it is smaller than the sum of its proper divisors (6067291056).

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

2311029840 is a wasteful number, since it uses less digits than its factorization.

2311029840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32057 (or 32051 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2311029840 is about 48073.1717281063. The cubic root of 2311029840 is about 1322.1128238885.

The spelling of 2311029840 in words is "two billion, three hundred eleven million, twenty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 168 172 210 215 240 258 280 301 336 344 420 430 516 560 602 645 688 840 860 903 1032 1204 1290 1505 1680 1720 1806 2064 2408 2580 3010 3440 3612 4515 4816 5160 6020 7224 9030 10320 12040 14448 18060 24080 31991 36120 63982 72240 95973 127964 159955 191946 223937 255928 319910 383892 447874 479865 511856 639820 671811 767784 895748 959730 1119685 1279640 1343622 1375613 1535568 1791496 1919460 2239370 2559280 2687244 2751226 3359055 3582992 3838920 4126839 4478740 5374488 5502452 6718110 6878065 7677840 8253678 8957480 9629291 10748976 11004904 13436220 13756130 16507356 17914960 19258582 20634195 22009808 26872440 27512260 28887873 33014712 38517164 41268390 48146455 53744880 55024520 57775746 66029424 77034328 82536780 96292910 110049040 115551492 144439365 154068656 165073560 192585820 231102984 288878730 330147120 385171640 462205968 577757460 770343280 1155514920 2311029840