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3293812242 = 233726120407
BaseRepresentation
bin1100010001010011…
…1001011000010010
322111112212222222000
43010110321120102
523221203442432
61302501454430
7144423641100
oct30424713022
98445788860
103293812242
1114402a8986
1277b111416
13406526a36
14233648c70
1514427e57c
hexc4539612

3293812242 has 96 divisors (see below), whose sum is σ = 8654624640. Its totient is φ = 925616160.

The previous prime is 3293812201. The next prime is 3293812243. The reversal of 3293812242 is 2422183923.

3293812242 is a `hidden beast` number, since 32 + 9 + 381 + 2 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3293812197 and 3293812206.

It is not an unprimeable number, because it can be changed into a prime (3293812243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151203 + ... + 171609.

It is an arithmetic number, because the mean of its divisors is an integer number (90152340).

Almost surely, 23293812242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3293812242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327312320).

3293812242 is an abundant number, since it is smaller than the sum of its proper divisors (5360812398).

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

3293812242 is a wasteful number, since it uses less digits than its factorization.

3293812242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20493 (or 20480 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3293812242 is about 57391.7436745043. The cubic root of 3293812242 is about 1487.8744284643.

The spelling of 3293812242 in words is "three billion, two hundred ninety-three million, eight hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 61 63 98 122 126 147 183 189 294 366 378 427 441 549 854 882 1098 1281 1323 1647 2562 2646 2989 3294 3843 5978 7686 8967 11529 17934 20407 23058 26901 40814 53802 61221 80703 122442 142849 161406 183663 285698 367326 428547 550989 857094 999943 1101978 1244827 1285641 1999886 2489654 2571282 2999829 3734481 3856923 5999658 7468962 7713846 8713789 8999487 11203443 17427578 17998974 22406886 26141367 26998461 33610329 52282734 53996922 60996523 67220658 78424101 121993046 156848202 182989569 235272303 365979138 470544606 548968707 1097937414 1646906121 3293812242