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343430014404344 = 237199178719998627
BaseRepresentation
bin100111000010110010000100…
…0000000111000011011111000
31200000222120220012002222000212
41032011210020000320123320
5330003224132141414334
63214225323125050252
7132223666624113020
oct11605441000703370
91600876805088025
10343430014404344
119a47793aa2490a
1232627054b56988
13119824081a707a
1460b415c2c4a80
1529a86096d9ece
hex13859080386f8

343430014404344 has 128 divisors (see below), whose sum is σ = 740489472000000. Its totient is φ = 146272547177856.

The previous prime is 343430014404317. The next prime is 343430014404377. The reversal of 343430014404344 is 443404410034343.

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 31 ways as a sum of consecutive naturals, for example, 39808737359 + ... + 39808745985.

It is an arithmetic number, because the mean of its divisors is an integer number (5785074000000).

Almost surely, 2343430014404344 is an apocalyptic number.

It is an amenable number.

343430014404344 is an abundant number, since it is smaller than the sum of its proper divisors (397059457595656).

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

343430014404344 is a wasteful number, since it uses less digits than its factorization.

343430014404344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12625 (or 12621 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 41.

Adding to 343430014404344 its reverse (443404410034343), we get a palindrome (786834424438687).

The spelling of 343430014404344 in words is "three hundred forty-three trillion, four hundred thirty billion, fourteen million, four hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 199 398 796 1393 1592 1787 1999 2786 3574 3998 5572 7148 7996 8627 11144 12509 13993 14296 15992 17254 25018 27986 34508 50036 55972 60389 69016 100072 111944 120778 241556 355613 397801 483112 711226 795602 1422452 1591204 1716773 2489291 2784607 2844904 3182408 3433546 3572213 4978582 5569214 6867092 7144426 9957164 11138428 12017411 13734184 14288852 15416449 17245373 19914328 22276856 24034822 25005491 28577704 30832898 34490746 48069644 50010982 61665796 68981492 96139288 100021964 107915143 120717611 123331592 137962984 200043928 215830286 241435222 431660572 482870444 710870387 863321144 965740888 1421740774 2843481548 3067873351 3431829227 4976092709 5686963096 6135746702 6863658454 9952185418 12271493404 13727316908 19904370836 21475113457 24022804589 24542986808 27454633816 30817481551 39808741672 42950226914 48045609178 61634963102 85900453828 96091218356 123269926204 171800907656 192182436712 215722370857 246539852408 431444741714 862889483428 1725778966856 6132678828649 12265357657298 24530715314596 42928751800543 49061430629192 85857503601086 171715007202172 343430014404344