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2030342440 = 235723727997
BaseRepresentation
bin111100100000100…
…1001000100101000
312020111110002020011
41321001021010220
513124231424230
6533245141304
7101212424500
oct17101110450
95214402204
102030342440
11952091365
12487b5a834
1326483c179
14153916a00
15bd3a7e2a
hex79049128

2030342440 has 96 divisors (see below), whose sum is σ = 5457930120. Its totient is φ = 677279232.

The previous prime is 2030342401. The next prime is 2030342459. The reversal of 2030342440 is 442430302.

It can be written as a sum of positive squares in 4 ways, for example, as 2028421444 + 1920996 = 45038^2 + 1386^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58522 + ... + 86518.

Almost surely, 22030342440 is an apocalyptic number.

2030342440 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 2030342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728965060).

2030342440 is an abundant number, since it is smaller than the sum of its proper divisors (3427587680).

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

2030342440 is a wasteful number, since it uses less digits than its factorization.

2030342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28059 (or 28048 counting only the distinct ones).

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

The square root of 2030342440 is about 45059.3213442014. The cubic root of 2030342440 is about 1266.2606106877.

Adding to 2030342440 its reverse (442430302), we get a palindrome (2472772742).

The spelling of 2030342440 in words is "two billion, thirty million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 49 56 70 74 98 140 148 185 196 245 259 280 296 370 392 490 518 740 980 1036 1295 1480 1813 1960 2072 2590 3626 5180 7252 9065 10360 14504 18130 27997 36260 55994 72520 111988 139985 195979 223976 279970 391958 559940 783916 979895 1035889 1119880 1371853 1567832 1959790 2071778 2743706 3919580 4143556 5179445 5487412 6859265 7251223 7839160 8287112 10358890 10974824 13718530 14502446 20717780 27437060 29004892 36256115 41435560 50758561 54874120 58009784 72512230 101517122 145024460 203034244 253792805 290048920 406068488 507585610 1015171220 2030342440