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342673968456 = 233219250492667
BaseRepresentation
bin1001111110010001111…
…01011100110101001000
31012202111112112020101100
410333020331130311020
521103244013442311
6421231112221400
733520531446501
oct4771075346510
91182445466340
10342673968456
11122366581426
12564b499a860
1326410b82011
141282a8c7ba8
158da8cd7a56
hex4fc8f5cd48

342673968456 has 48 divisors (see below), whose sum is σ = 976921405200. Its totient is φ = 108212831712.

The previous prime is 342673968449. The next prime is 342673968467. The reversal of 342673968456 is 654869376243.

342673968456 is a `hidden beast` number, since 3 + 4 + 26 + 73 + 96 + 8 + 456 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 342673968393 and 342673968402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125244966 + ... + 125247701.

It is an arithmetic number, because the mean of its divisors is an integer number (20352529275).

Almost surely, 2342673968456 is an apocalyptic number.

342673968456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

342673968456 is an abundant number, since it is smaller than the sum of its proper divisors (634247436744).

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

342673968456 is a wasteful number, since it uses less digits than its factorization.

342673968456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250492698 (or 250492691 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 342673968456 in words is "three hundred forty-two billion, six hundred seventy-three million, nine hundred sixty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 250492667 500985334 751478001 1001970668 1502956002 2003941336 2254434003 3005912004 4508868006 4759360673 6011824008 9017736012 9518721346 14278082019 18035472024 19037442692 28556164038 38074885384 42834246057 57112328076 85668492114 114224656152 171336984228 342673968456