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342927469404 = 22321343106116061
BaseRepresentation
bin1001111110110000001…
…00011110101101011100
31012210011012112102022100
410333120010132231130
521104303413010104
6421312205445100
733530030252352
oct4773004365534
91183135472270
10342927469404
11122486686443
1256565870790
132645154c090
14128524357d2
158dc11ae139
hex4fd811eb5c

342927469404 has 144 divisors (see below), whose sum is σ = 956194503264. Its totient is φ = 102958732800.

The previous prime is 342927469399. The next prime is 342927469427. The reversal of 342927469404 is 404964729243.

It is a super-2 number, since 2×3429274694042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21343534 + ... + 21359594.

It is an arithmetic number, because the mean of its divisors is an integer number (6640239606).

Almost surely, 2342927469404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342927469404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478097251632).

342927469404 is an abundant number, since it is smaller than the sum of its proper divisors (613267033860).

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

342927469404 is a wasteful number, since it uses less digits than its factorization.

342927469404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17188 (or 17183 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 342927469404 in words is "three hundred forty-two billion, nine hundred twenty-seven million, four hundred sixty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1061 1118 1548 1677 2122 2236 3183 3354 4244 5031 6366 6708 9549 10062 12732 13793 16061 19098 20124 27586 32122 38196 41379 45623 48183 55172 64244 82758 91246 96366 124137 136869 144549 165516 182492 192732 208793 248274 273738 289098 410607 417586 496548 547476 578196 593099 626379 690623 821214 835172 1186198 1252758 1381246 1642428 1779297 1879137 2071869 2372396 2505516 2762492 3558594 3758274 4143738 5337891 6215607 7117188 7516548 8287476 8978099 10675782 12431214 17040721 17956198 21351564 24862428 26934297 34081442 35912396 51122163 53868594 68162884 80802891 102244326 107737188 153366489 161605782 204488652 221529373 306732978 323211564 443058746 613465956 664588119 732751003 886117492 1329176238 1465502006 1993764357 2198253009 2658352476 2931004012 3987528714 4396506018 6594759027 7975057428 8793012036 9525763039 13189518054 19051526078 26379036108 28577289117 38103052156 57154578234 85731867351 114309156468 171463734702 342927469404