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342912063690 = 23257737456231
BaseRepresentation
bin1001111110101110010…
…01101101100011001010
31012210010010112201122100
410333113021231203022
521104240442014230
6421310455334230
733526452306630
oct4772711554312
91183103481570
10342912063690
11122478a13949
1256560681376
132644b2b6b81
1412850385350
158dbeb69660
hex4fd726d8ca

342912063690 has 96 divisors (see below), whose sum is σ = 1032896906496. Its totient is φ = 77306192640.

The previous prime is 342912063673. The next prime is 342912063721. The reversal of 342912063690 is 96360219243.

342912063690 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 1 + 2 + 0 + 636 + 9 + 0 = 666.

It is a super-2 number, since 2×3429120636902 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3682126 + ... + 3774105.

It is an arithmetic number, because the mean of its divisors is an integer number (10759342776).

Almost surely, 2342912063690 is an apocalyptic number.

342912063690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

342912063690 is an abundant number, since it is smaller than the sum of its proper divisors (689984842806).

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

342912063690 is a wasteful number, since it uses less digits than its factorization.

342912063690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456324 (or 7456321 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 342912063690 in words is "three hundred forty-two billion, nine hundred twelve million, sixty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 73 90 105 126 146 210 219 315 365 438 511 630 657 730 1022 1095 1314 1533 2190 2555 3066 3285 4599 5110 6570 7665 9198 15330 22995 45990 7456231 14912462 22368693 37281155 44737386 52193617 67106079 74562310 104387234 111843465 134212158 156580851 223686930 260968085 313161702 335530395 469742553 521936170 544304863 671060790 782904255 939485106 1088609726 1565808510 1632914589 2348712765 2721524315 3265829178 3810134041 4697425530 4898743767 5443048630 7620268082 8164572945 9797487534 11430402123 16329145890 19050670205 22860804246 24493718835 34291206369 38101340410 48987437670 57152010615 68582412738 114304021230 171456031845 342912063690