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3403231020 = 22325717158881
BaseRepresentation
bin1100101011011001…
…0010111100101100
322210011210001022100
43022312102330230
523432211343040
61321411015100
7150222662220
oct31266227454
98704701270
103403231020
111497042922
127ab89a490
134230b7687
14243dac780
1514db94b30
hexcad92f2c

3403231020 has 144 divisors (see below), whose sum is σ = 12491938368. Its totient is φ = 732119040.

The previous prime is 3403231009. The next prime is 3403231021. The reversal of 3403231020 is 201323043.

3403231020 is a `hidden beast` number, since 340 + 323 + 1 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3403230984 and 3403231002.

It is not an unprimeable number, because it can be changed into a prime (3403231021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58021 + ... + 100860.

It is an arithmetic number, because the mean of its divisors is an integer number (86749572).

Almost surely, 23403231020 is an apocalyptic number.

3403231020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3403231020 is an abundant number, since it is smaller than the sum of its proper divisors (9088707348).

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

3403231020 is a wasteful number, since it uses less digits than its factorization.

3403231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158920 (or 158915 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3403231020 is about 58337.2181373092. The cubic root of 3403231020 is about 1504.1707657271.

Adding to 3403231020 its reverse (201323043), we get a palindrome (3604554063).

The spelling of 3403231020 in words is "three billion, four hundred three million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 158881 317762 476643 635524 794405 953286 1112167 1429929 1588810 1906572 2224334 2383215 2700977 2859858 3177620 3336501 4448668 4766430 5401954 5560835 5719716 6673002 7149645 8102931 9532860 10009503 10803908 11121670 13346004 13504885 14299290 16205862 16682505 18906839 20019006 22243340 24308793 27009770 28598580 32411724 33365010 37813678 40038012 40514655 48617586 50047515 54019540 56720517 66730020 75627356 81029310 94534195 97235172 100095030 113441034 121543965 162058620 170161551 189068390 200190060 226882068 243087930 283602585 340323102 378136780 486175860 567205170 680646204 850807755 1134410340 1701615510 3403231020