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343220916363456 = 26318893833246889
BaseRepresentation
bin100111000001010000101100…
…0110011001010000011000000
31200000020121011210020220201010
41032002201120303022003000
5324441312414042112311
63213545302352240520
7132202615160102325
oct11602413063120300
91600217153226633
10343220916363456
119a3a719a59995a
12325b261a540140
1311968793ccba61
1460a7da3b8ab4c
1529a2e6c66eda6
hex1382858cca0c0

343220916363456 has 112 divisors (see below), whose sum is σ = 908826798751200. Its totient is φ = 114316112166912.

The previous prime is 343220916363439. The next prime is 343220916363467. The reversal of 343220916363456 is 654363619022343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 343220916363396 and 343220916363405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1390059660 + ... + 1390306548.

It is an arithmetic number, because the mean of its divisors is an integer number (8114524988850).

Almost surely, 2343220916363456 is an apocalyptic number.

It is an amenable number.

343220916363456 is an abundant number, since it is smaller than the sum of its proper divisors (565605882387744).

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

343220916363456 is a wasteful number, since it uses less digits than its factorization.

343220916363456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252626 (or 252616 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 57.

The spelling of 343220916363456 in words is "three hundred forty-three trillion, two hundred twenty billion, nine hundred sixteen million, three hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1889 3778 3833 5667 7556 7666 11334 11499 15112 15332 22668 22998 30224 30664 45336 45996 60448 61328 90672 91992 120896 122656 181344 183984 245312 246889 362688 367968 493778 735936 740667 987556 1481334 1975112 2962668 3950224 5925336 7240537 7900448 11850672 14481074 15800896 21721611 23701344 28962148 43443222 47402688 57924296 86886444 115848592 173772888 231697184 347545776 463394368 466373321 695091552 932746642 946325537 1390183104 1399119963 1865493284 1892651074 2798239926 2838976611 3730986568 3785302148 5596479852 5677953222 7461973136 7570604296 11192959704 11355906444 14923946272 15141208592 22385919408 22711812888 29847892544 30282417184 44771838816 45423625776 60564834368 89543677632 90847251552 181694503104 1787608939393 3575217878786 5362826818179 7150435757572 10725653636358 14300871515144 21451307272716 28601743030288 42902614545432 57203486060576 85805229090864 114406972121152 171610458181728 343220916363456