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340243434120 = 233526910540379
BaseRepresentation
bin1001111001110000001…
…01101100101010001000
31012112020011001022002010
410330320011230222020
521033304304342440
6420150005335520
733403356320532
oct4747005545210
91175204038063
10340243434120
11121329603a67
1255b36a075a0
1326114465115
1412679b9a852
158cb572e580
hex4f3816ca88

340243434120 has 64 divisors (see below), whose sum is σ = 1024524936000. Its totient is φ = 90394281728.

The previous prime is 340243434103. The next prime is 340243434163. The reversal of 340243434120 is 21434342043.

It is a happy number.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5237910 + ... + 5302469.

It is an arithmetic number, because the mean of its divisors is an integer number (16008202125).

Almost surely, 2340243434120 is an apocalyptic number.

340243434120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340243434120 is an abundant number, since it is smaller than the sum of its proper divisors (684281501880).

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

340243434120 is a wasteful number, since it uses less digits than its factorization.

340243434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540662 (or 10540658 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 340243434120 its reverse (21434342043), we get a palindrome (361677776163).

The spelling of 340243434120 in words is "three hundred forty billion, two hundred forty-three million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1614 2152 2690 3228 4035 5380 6456 8070 10760 16140 32280 10540379 21080758 31621137 42161516 52701895 63242274 84323032 105403790 126484548 158105685 210807580 252969096 316211370 421615160 632422740 1264845480 2835361951 5670723902 8506085853 11341447804 14176809755 17012171706 22682895608 28353619510 34024343412 42530429265 56707239020 68048686824 85060858530 113414478040 170121717060 340243434120