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340135310512 = 241913146718289
BaseRepresentation
bin1001111001100011010…
…01001111010010110000
31012111221121121001101001
410330301221033102300
521033044114414022
6420131144051344
733400604302414
oct4746151172260
91174847531331
10340135310512
11121283574108
1255b06763b54
13260c7c38b5a
1412669692d44
158caaec2b27
hex4f31a4f4b0

340135310512 has 80 divisors (see below), whose sum is σ = 700527484800. Its totient is φ = 159535733760.

The previous prime is 340135310507. The next prime is 340135310513. The reversal of 340135310512 is 215013531043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (340135310513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18588664 + ... + 18606952.

It is an arithmetic number, because the mean of its divisors is an integer number (8756593560).

Almost surely, 2340135310512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340135310512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350263742400).

340135310512 is an abundant number, since it is smaller than the sum of its proper divisors (360392174288).

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

340135310512 is a wasteful number, since it uses less digits than its factorization.

340135310512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18914 (or 18908 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 340135310512 its reverse (215013531043), we get a palindrome (555148841555).

The spelling of 340135310512 in words is "three hundred forty billion, one hundred thirty-five million, three hundred ten thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 131 152 262 304 467 524 934 1048 1868 2096 2489 3736 4978 7472 8873 9956 17746 18289 19912 35492 36578 39824 61177 70984 73156 122354 141968 146312 244708 292624 347491 489416 694982 978832 1162363 1389964 2324726 2395859 2779928 4649452 4791718 5559856 8540963 9298904 9583436 17081926 18597808 19166872 34163852 38333744 45521321 68327704 91042642 136655408 162278297 182085284 324556594 364170568 649113188 728341136 1118866153 1298226376 2237732306 2596452752 4475464612 8950929224 17901858448 21258456907 42516913814 85033827628 170067655256 340135310512