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345810979605 = 357131025324709
BaseRepresentation
bin1010000100000111111…
…00001100101100010101
31020001121011100220200110
411002003330030230111
521131210102321410
6422510253233233
733661342553550
oct5020374145425
91201534326613
10345810979605
11123726312323
125702b492819
13267c0a68330
1412a47397697
158ede3e2720
hex5083f0cb15

345810979605 has 64 divisors (see below), whose sum is σ = 681075601920. Its totient is φ = 145904495616.

The previous prime is 345810979583. The next prime is 345810979639. The reversal of 345810979605 is 506979018543.

It is not a de Polignac number, because 345810979605 - 26 = 345810979541 is a prime.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13982991 + ... + 14007699.

It is an arithmetic number, because the mean of its divisors is an integer number (10641806280).

Almost surely, 2345810979605 is an apocalyptic number.

345810979605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345810979605 is a deficient number, since it is larger than the sum of its proper divisors (335264622315).

345810979605 is a wasteful number, since it uses less digits than its factorization.

345810979605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34990.

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 345810979605 in words is "three hundred forty-five billion, eight hundred ten million, nine hundred seventy-nine thousand, six hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1365 10253 24709 30759 51265 71771 74127 123545 133289 153795 172963 215313 321217 358855 370635 399867 518889 666445 864815 933023 963651 1076565 1606085 1999335 2248519 2594445 2799069 4665115 4818255 6745557 11242595 13995345 33727785 253341377 760024131 1266706885 1773389639 3293437901 3800120655 5320168917 8866948195 9880313703 16467189505 23054065307 26600844585 49401568515 69162195921 115270326535 345810979605