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341114311032 = 233112278536673
BaseRepresentation
bin1001111011010111111…
…11110101000101111000
31012121110211202102121120
410331223333311011320
521042100230423112
6420412235305240
733434062542345
oct4755377650570
91177424672546
10341114311032
11121736154750
125613a5ab220
1326222a029c1
141271d6d57cc
158d16e06e8c
hex4f6bff5178

341114311032 has 128 divisors (see below), whose sum is σ = 935645679360. Its totient is φ = 102776555520.

The previous prime is 341114311007. The next prime is 341114311033. The reversal of 341114311032 is 230113411143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 341114310993 and 341114311011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341114311033) 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, 51115248 + ... + 51121920.

It is an arithmetic number, because the mean of its divisors is an integer number (7309731870).

Almost surely, 2341114311032 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 341114311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467822839680).

341114311032 is an abundant number, since it is smaller than the sum of its proper divisors (594531368328).

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

341114311032 is a wasteful number, since it uses less digits than its factorization.

341114311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 341114311032 its reverse (230113411143), we get a palindrome (571227722175).

The spelling of 341114311032 in words is "three hundred forty-one billion, one hundred fourteen million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 227 264 454 681 853 908 1362 1706 1816 2497 2559 2724 3412 4994 5118 5448 6673 6824 7491 9383 9988 10236 13346 14982 18766 19976 20019 20472 26692 28149 29964 37532 40038 53384 56298 59928 73403 75064 80076 112596 146806 160152 193631 220209 225192 293612 387262 440418 580893 587224 774524 880836 1161786 1514771 1549048 1761672 2129941 2323572 3029542 4259882 4544313 4647144 5692069 6059084 6389823 8519764 9088626 11384138 12118168 12779646 16662481 17039528 17076207 18177252 22768276 25559292 33324962 34152414 36354504 45536552 49987443 51118584 62612759 66649924 68304828 99974886 125225518 133299848 136609656 187838277 199949772 250451036 375676554 399899544 500902072 751353108 1292099663 1502706216 2584199326 3876298989 5168398652 7752597978 10336797304 14213096293 15505195956 28426192586 31010391912 42639288879 56852385172 85278577758 113704770344 170557155516 341114311032