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341323420440 = 23356481438877
BaseRepresentation
bin1001111011110000111…
…01100001001100011000
31012122000102020021210110
410331320131201030120
521043012243423230
6420445105244320
733442212126642
oct4757035411430
91178012207713
10341323420440
11121833199742
12561986336a0
1326257129392
141273d3a9892
158d2a4604b0
hex4f78761318

341323420440 has 64 divisors (see below), whose sum is σ = 1024130590560. Its totient is φ = 91005327360.

The previous prime is 341323420391. The next prime is 341323420499. The reversal of 341323420440 is 44024323143.

It is a happy number.

It is a super-2 number, since 2×3413234204402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 341323420398 and 341323420407.

It is a congruent number.

It is an unprimeable number.

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, 558282 + ... + 997158.

Almost surely, 2341323420440 is an apocalyptic number.

341323420440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

341323420440 is an abundant number, since it is smaller than the sum of its proper divisors (682807170120).

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

341323420440 is a wasteful number, since it uses less digits than its factorization.

341323420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445372 (or 445368 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 341323420440 its reverse (44024323143), we get a palindrome (385347743583).

The spelling of 341323420440 in words is "three hundred forty-one billion, three hundred twenty-three million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 6481 12962 19443 25924 32405 38886 51848 64810 77772 97215 129620 155544 194430 259240 388860 438877 777720 877754 1316631 1755508 2194385 2633262 3511016 4388770 5266524 6583155 8777540 10533048 13166310 17555080 26332620 52665240 2844361837 5688723674 8533085511 11377447348 14221809185 17066171022 22754894696 28443618370 34132342044 42665427555 56887236740 68264684088 85330855110 113774473480 170661710220 341323420440