Search a number
-
+
342058013064 = 2332172111324451
BaseRepresentation
bin1001111101001000011…
…11110001000110001000
31012200220121111110102200
410332210033301012020
521101013322404224
6421050030200200
733466342065255
oct4764417610610
91180817443380
10342058013064
1112207a915a89
1256362653060
132634338ac81
14127acb8a42c
158d6ebb75c9
hex4fa43f1188

342058013064 has 96 divisors (see below), whose sum is σ = 985551222240. Its totient is φ = 106803648000.

The previous prime is 342058013041. The next prime is 342058013069. The reversal of 342058013064 is 460310850243.

342058013064 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 580 + 13 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (342058013069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403962 + ... + 920489.

It is an arithmetic number, because the mean of its divisors is an integer number (10266158565).

Almost surely, 2342058013064 is an apocalyptic number.

342058013064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

342058013064 is an abundant number, since it is smaller than the sum of its proper divisors (643493209176).

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

342058013064 is a wasteful number, since it uses less digits than its factorization.

342058013064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324691 (or 1324684 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 342058013064 in words is "three hundred forty-two billion, fifty-eight million, thirteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 211 306 408 422 612 633 844 1224 1266 1688 1899 2532 3587 3798 5064 7174 7596 10761 14348 15192 21522 28696 32283 43044 64566 86088 129132 258264 1324451 2648902 3973353 5297804 7946706 10595608 11920059 15893412 22515667 23840118 31786824 45031334 47680236 67547001 90062668 95360472 135094002 180125336 202641003 270188004 279459161 405282006 540376008 558918322 810564012 838377483 1117836644 1621128024 1676754966 2235673288 2515132449 3353509932 4750805737 5030264898 6707019864 9501611474 10060529796 14252417211 19003222948 20121059592 28504834422 38006445896 42757251633 57009668844 85514503266 114019337688 171029006532 342058013064