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240313030434 = 232971312813739
BaseRepresentation
bin1101111111001111000…
…1011101011100100010
3211222021211100211000200
43133303301131130202
512414130113433214
6302222010130030
723235116024661
oct3376361353442
9758254324020
10240313030434
1192a09493684
123a6a8420916
131987a1b2539
14b8ba094dd8
1563b7690d09
hex37f3c5d722

240313030434 has 96 divisors (see below), whose sum is σ = 532090278720. Its totient is φ = 78372403200.

The previous prime is 240313030429. The next prime is 240313030439. The reversal of 240313030434 is 434030313042.

240313030434 is a `hidden beast` number, since 2 + 40 + 313 + 0 + 304 + 3 + 4 = 666.

240313030434 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240313030429) and next prime (240313030439).

It is a super-2 number, since 2×2403130304342 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240313030398 and 240313030407.

It is not an unprimeable number, because it can be changed into a prime (240313030439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64270137 + ... + 64273875.

It is an arithmetic number, because the mean of its divisors is an integer number (5542607070).

Almost surely, 2240313030434 is an apocalyptic number.

240313030434 is an abundant number, since it is smaller than the sum of its proper divisors (291777248286).

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

240313030434 is a wasteful number, since it uses less digits than its factorization.

240313030434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 240313030434 its reverse (434030313042), we get a palindrome (674343343476).

The spelling of 240313030434 in words is "two hundred forty billion, three hundred thirteen million, thirty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 97 131 194 262 281 291 393 562 582 786 843 873 1179 1686 1746 2358 2529 3739 5058 7478 11217 12707 22434 25414 27257 33651 36811 38121 54514 67302 73622 76242 81771 110433 114363 163542 220866 228726 245313 331299 362683 489809 490626 662598 725366 979618 1050659 1088049 1469427 2101318 2176098 2938854 3151977 3264147 3570667 4408281 6303954 6528294 7141334 8816562 9455931 10712001 18911862 21424002 32136003 47511473 64272006 95022946 101913923 137636329 142534419 203827846 275272658 285068838 305741769 412908987 427603257 611483538 825817974 855206514 917225307 1238726961 1834450614 2477453922 13350723913 26701447826 40052171739 80104343478 120156515217 240313030434