Search a number
-
+
342412013104 = 24710737975389
BaseRepresentation
bin1001111101110010101…
…10001010111000110000
31012201211021121112012021
410332321112022320300
521102224433404404
6421145113441224
733511201042330
oct4767126127060
91181737545167
10342412013104
111222417224a7
1256441110214
132639b814a55
1412803bb90c0
158d90ce1454
hex4fb958ae30

342412013104 has 80 divisors (see below), whose sum is σ = 767313388800. Its totient is φ = 144991026432.

The previous prime is 342412013101. The next prime is 342412013117. The reversal of 342412013104 is 401310214243.

It is not an unprimeable number, because it can be changed into a prime (342412013101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4504242 + ... + 4579630.

It is an arithmetic number, because the mean of its divisors is an integer number (9591417360).

Almost surely, 2342412013104 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 342412013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383656694400).

342412013104 is an abundant number, since it is smaller than the sum of its proper divisors (424901375696).

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

342412013104 is a wasteful number, since it uses less digits than its factorization.

342412013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75890 (or 75884 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 342412013104 its reverse (401310214243), we get a palindrome (743722227347).

The spelling of 342412013104 in words is "three hundred forty-two billion, four hundred twelve million, thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 379 428 749 758 856 1498 1516 1712 2653 2996 3032 5306 5992 6064 10612 11984 21224 40553 42448 75389 81106 150778 162212 283871 301556 324424 527723 567742 603112 648848 1055446 1135484 1206224 2110892 2270968 4221784 4541936 8066623 8443568 16133246 28572431 32266492 56466361 57144862 64532984 112932722 114289724 129065968 200007017 225865444 228579448 400014034 451730888 457158896 800028068 903461776 1600056136 3057250117 3200112272 6114500234 12229000468 21400750819 24458000936 42801501638 48916001872 85603003276 171206006552 342412013104