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340103152242 = 23372385133377
BaseRepresentation
bin1001111001011111011…
…10100100001001110010
31012111212101002020112000
410330233232210021302
521033012401332432
6420124034514430
733400034044500
oct4745756441162
91174771066460
10340103152242
111212673aa127
1255ab7a35a16
13260c13896a9
14126652c1670
158ca826e57c
hex4f2fba4272

340103152242 has 96 divisors (see below), whose sum is σ = 879432863040. Its totient is φ = 97144185600.

The previous prime is 340103152201. The next prime is 340103152261. The reversal of 340103152242 is 242251301043.

340103152242 is a `hidden beast` number, since 3 + 401 + 0 + 3 + 15 + 2 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 10173058 + ... + 10206434.

It is an arithmetic number, because the mean of its divisors is an integer number (9160758990).

Almost surely, 2340103152242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340103152242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439716431520).

340103152242 is an abundant number, since it is smaller than the sum of its proper divisors (539329710798).

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

340103152242 is a wasteful number, since it uses less digits than its factorization.

340103152242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37253 (or 37240 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 340103152242 its reverse (242251301043), we get a palindrome (582354453285).

The spelling of 340103152242 in words is "three hundred forty billion, one hundred three million, one hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 3851 7702 11553 23106 26957 33377 34659 53914 66754 69318 80871 100131 103977 161742 188699 200262 207954 233639 242613 300393 377398 467278 485226 566097 600786 700917 727839 901179 1132194 1401834 1455678 1635473 1698291 1802358 2102751 3270946 3396582 4205502 4906419 5094873 6308253 9812838 10189746 12616506 14719257 29438514 44157771 88315542 128534827 257069654 385604481 771208962 899743789 1156813443 1799487578 2313626886 2699231367 3470440329 5398462734 6298206523 6940880658 8097694101 12596413046 16195388202 18894619569 24293082303 37789239138 48586164606 56683858707 113367717414 170051576121 340103152242