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340497405558 = 2321957111711489
BaseRepresentation
bin1001111010001110011…
…10100001011001110110
31012112212211221101101200
410331013032201121312
521034314313434213
6420231121033330
733412562123202
oct4750716413166
91175784841350
10340497405558
111214499aa512
1255ba7a85846
1326154c6838b
14126a17cbb02
158cccb9a273
hex4f473a1676

340497405558 has 96 divisors (see below), whose sum is σ = 779120284800. Its totient is φ = 107173497600.

The previous prime is 340497405557. The next prime is 340497405607. The reversal of 340497405558 is 855504794043.

It is a happy number.

340497405558 is a `hidden beast` number, since 3 + 4 + 0 + 49 + 7 + 40 + 5 + 558 = 666.

It is a super-3 number, since 3×3404974055583 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340497405551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228674478 + ... + 228675966.

It is an arithmetic number, because the mean of its divisors is an integer number (8115836300).

Almost surely, 2340497405558 is an apocalyptic number.

340497405558 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340497405558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389560142400).

340497405558 is an abundant number, since it is smaller than the sum of its proper divisors (438622879242).

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

340497405558 is a wasteful number, since it uses less digits than its factorization.

340497405558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 340497405558 in words is "three hundred forty billion, four hundred ninety-seven million, four hundred five thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 571 1142 1171 1489 1713 2342 2978 3426 3513 4467 5139 7026 8934 10278 10539 10849 13401 21078 21698 22249 26802 28291 32547 44498 56582 65094 66747 84873 97641 133494 169746 195282 200241 254619 400482 509238 668641 850219 1337282 1700438 1743619 2005923 2550657 3487238 4011846 5101314 5230857 6017769 7651971 10461714 12035538 12704179 15303942 15692571 16154161 25408358 31385142 32308322 33128761 38112537 48462483 66257522 76225074 96924966 99386283 114337611 145387449 198772566 228675222 290774898 298158849 596317698 995606449 1991212898 2986819347 5973638694 8960458041 17920916082 18916522531 37833045062 56749567593 113499135186 170248702779 340497405558