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340415230232 = 237112396724847
BaseRepresentation
bin1001111010000100101…
…01000011000100011000
31012112200010022110001002
410331002111003010120
521034132244331412
6420215023444132
733410543500040
oct4750225030430
91175603273032
10340415230232
11121407582a20
1255b84456648
1326140c25b1c
141269491a720
158cc5866dc2
hex4f42543118

340415230232 has 128 divisors (see below), whose sum is σ = 831266979840. Its totient is φ = 126726526080.

The previous prime is 340415230217. The next prime is 340415230237. The reversal of 340415230232 is 232032514043.

It is a happy number.

It is a super-3 number, since 3×3404152302323 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340415230195 and 340415230204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340415230237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13688033 + ... + 13712879.

It is an arithmetic number, because the mean of its divisors is an integer number (6494273280).

Almost surely, 2340415230232 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 340415230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415633489920).

340415230232 is an abundant number, since it is smaller than the sum of its proper divisors (490851749608).

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

340415230232 is a wasteful number, since it uses less digits than its factorization.

340415230232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25861 (or 25857 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 340415230232 its reverse (232032514043), we get a palindrome (572447744275).

The spelling of 340415230232 in words is "three hundred forty billion, four hundred fifteen million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 967 1012 1288 1771 1934 2024 3542 3868 6769 7084 7736 10637 13538 14168 21274 22241 24847 27076 42548 44482 49694 54152 74459 85096 88964 99388 148918 155687 173929 177928 198776 244651 273317 297836 311374 347858 489302 546634 571481 595672 622748 695716 978604 1093268 1142962 1245496 1391432 1712557 1913219 1957208 2186536 2285924 3425114 3826438 4000367 4571848 6286291 6850228 7652876 8000734 12572582 13700456 15305752 16001468 24027049 25145164 32002936 44004037 48054098 50290328 88008074 96108196 168189343 176016148 192216392 264297539 336378686 352032296 528595078 552622127 672757372 1057190156 1105244254 1345514744 1850082773 2114380312 2210488508 3700165546 3868354889 4420977016 6078843397 7400331092 7736709778 12157686794 14800662184 15473419556 24315373588 30946839112 42551903779 48630747176 85103807558 170207615116 340415230232