Search a number
-
+
342413213104 = 24172992946727
BaseRepresentation
bin1001111101110010110…
…10101111110110110000
31012201211100212111021201
410332321122233312300
521102230240304404
6421145155300544
733511214201014
oct4767132576660
91181740774251
10342413213104
11122242372036
12564415aa754
132639bb45001
141280400c544
158d90e7bca4
hex4fb96afdb0

342413213104 has 80 divisors (see below), whose sum is σ = 727470849600. Its totient is φ = 155408433152.

The previous prime is 342413213071. The next prime is 342413213173. The reversal of 342413213104 is 401312314243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7304589 + ... + 7351315.

It is an arithmetic number, because the mean of its divisors is an integer number (9093385620).

Almost surely, 2342413213104 is an apocalyptic number.

342413213104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342413213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363735424800).

342413213104 is an abundant number, since it is smaller than the sum of its proper divisors (385057636496).

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

342413213104 is a wasteful number, since it uses less digits than its factorization.

342413213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47710 (or 47704 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 342413213104 its reverse (401312314243), we get a palindrome (743725527347).

The spelling of 342413213104 in words is "three hundred forty-two billion, four hundred thirteen million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 929 986 1858 1972 3716 3944 7432 7888 14864 15793 26941 31586 46727 53882 63172 93454 107764 126344 186908 215528 252688 373816 431056 457997 747632 794359 915994 1355083 1588718 1831988 2710166 3177436 3663976 5420332 6354872 7327952 10840664 12709744 21681328 23036411 43409383 46072822 86818766 92145644 173637532 184291288 347275064 368582576 694550128 737959511 1258872107 1475919022 2517744214 2951838044 5035488428 5903676088 10070976856 11807352176 20141953712 21400825819 42801651638 85603303276 171206606552 342413213104