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341303030144 = 2717198779413
BaseRepresentation
bin1001111011101110011…
…11101111000110000000
31012121221222212100120022
410331313033233012000
521042442033431034
6420443100233012
733441543614006
oct4756717570600
91177858770508
10341303030144
1112182273215a
125619183b768
1326252b3a40b
141273a7bca76
158d28783b2e
hex4f773ef180

341303030144 has 128 divisors (see below), whose sum is σ = 758772165600. Its totient is φ = 151970217984.

The previous prime is 341303030119. The next prime is 341303030147. The reversal of 341303030144 is 441030303143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341303030147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36253982 + ... + 36263394.

Almost surely, 2341303030144 is an apocalyptic number.

341303030144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341303030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379386082800).

341303030144 is an abundant number, since it is smaller than the sum of its proper divisors (417469135456).

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

341303030144 is a wasteful number, since it uses less digits than its factorization.

341303030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10340 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 341303030144 its reverse (441030303143), we get a palindrome (782333333287).

The spelling of 341303030144 in words is "three hundred forty-one billion, three hundred three million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 272 304 323 544 608 646 877 1088 1216 1292 1754 2176 2432 2584 3508 5168 7016 9413 10336 14032 14909 16663 18826 20672 28064 29818 33326 37652 41344 56128 59636 66652 75304 112256 119272 133304 150608 160021 178847 238544 266608 283271 301216 320042 357694 477088 533216 566542 602432 640084 715388 954176 1066432 1133084 1204864 1280168 1430776 1908352 2132864 2266168 2560336 2861552 3040399 4532336 5120672 5723104 6080798 8255201 9064672 10241344 11446208 12161596 16510402 18129344 20482688 22892416 24323192 33020804 36258688 48646384 66041608 97292768 132083216 140338417 156848819 194585536 264166432 280676834 313697638 389171072 528332864 561353668 627395276 1056665728 1122707336 1254790552 2245414672 2509581104 2666429923 4490829344 5019162208 5332859846 8981658688 10038324416 10665719692 17963317376 20076648832 21331439384 42662878768 85325757536 170651515072 341303030144