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342326149992 = 233331127402551
BaseRepresentation
bin1001111101101000011…
…10101000001101101000
31012201121022001020011000
410332310032220031220
521102040443244432
6421132405235000
733506106156501
oct4766416501550
91181538036130
10342326149992
111221a8207252
1256418402a60
1326386ab0a88
14127d6627ba8
158d884d057c
hex4fb43a8368

342326149992 has 128 divisors (see below), whose sum is σ = 989311795200. Its totient is φ = 109558008000.

The previous prime is 342326149981. The next prime is 342326150009. The reversal of 342326149992 is 299941623243.

342326149992 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 2 + 61 + 499 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649117 + ... + 1051667.

It is an arithmetic number, because the mean of its divisors is an integer number (7728998400).

Almost surely, 2342326149992 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 342326149992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494655897600).

342326149992 is an abundant number, since it is smaller than the sum of its proper divisors (646985645208).

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

342326149992 is a wasteful number, since it uses less digits than its factorization.

342326149992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402724 (or 402714 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 342326149992 in words is "three hundred forty-two billion, three hundred twenty-six million, one hundred forty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 127 186 216 248 254 279 372 381 508 558 744 762 837 1016 1116 1143 1524 1674 2232 2286 3048 3348 3429 3937 4572 6696 6858 7874 9144 11811 13716 15748 23622 27432 31496 35433 47244 70866 94488 106299 141732 212598 283464 402551 425196 805102 850392 1207653 1610204 2415306 3220408 3622959 4830612 7245918 9661224 10868877 12479081 14491836 21737754 24958162 28983672 37437243 43475508 49916324 51123977 74874486 86951016 99832648 102247954 112311729 149748972 153371931 204495908 224623458 299497944 306743862 336935187 408991816 449246916 460115793 613487724 673870374 898493832 920231586 1226975448 1347740748 1380347379 1584843287 1840463172 2695481496 2760694758 3169686574 3680926344 4754529861 5521389516 6339373148 9509059722 11042779032 12678746296 14263589583 19018119444 28527179166 38036238888 42790768749 57054358332 85581537498 114108716664 171163074996 342326149992