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340418034234 = 23353139855713
BaseRepresentation
bin1001111010000100111…
…11101111101000111010
31012112200022120220102000
410331002133233220322
521034134004043414
6420215203521430
733410606356005
oct4750237575072
91175608526360
10340418034234
11121409118683
1255b85389276
13261416981b5
141269504a53c
158cc5c1cb09
hex4f427efa3a

340418034234 has 64 divisors (see below), whose sum is σ = 776303740800. Its totient is φ = 110530607616.

The previous prime is 340418034227. The next prime is 340418034247. The reversal of 340418034234 is 432430814043.

340418034234 is a `hidden beast` number, since 3 + 4 + 0 + 418 + 0 + 3 + 4 + 234 = 666.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30039 + ... + 825674.

It is an arithmetic number, because the mean of its divisors is an integer number (12129745950).

Almost surely, 2340418034234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340418034234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388151870400).

340418034234 is an abundant number, since it is smaller than the sum of its proper divisors (435885706566).

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

340418034234 is a wasteful number, since it uses less digits than its factorization.

340418034234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855916 (or 855910 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 340418034234 its reverse (432430814043), we get a palindrome (772848848277).

The spelling of 340418034234 in words is "three hundred forty billion, four hundred eighteen million, thirty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 106 139 159 278 318 417 477 834 954 1251 1431 2502 2862 3753 7367 7506 14734 22101 44202 66303 132606 198909 397818 855713 1711426 2567139 5134278 7701417 15402834 23104251 45352789 46208502 90705578 118944107 136058367 237888214 272116734 356832321 408175101 713664642 816350202 1070496963 1224525303 2140993926 2449050606 3211490889 6304037671 6422981778 12608075342 18912113013 37824226026 56736339039 113472678078 170209017117 340418034234