Search a number
-
+
341405212320 = 25325237086953
BaseRepresentation
bin1001111011111010101…
…01100001111010100000
31012122020010010202011100
410331331111201322200
521043144213243240
6420501150314400
733444224265144
oct4757525417240
91178203122140
10341405212320
11121875384137
12561bbab8a00
132626b066243
141274a1bb224
158d32719e30
hex4f7d561ea0

341405212320 has 72 divisors (see below), whose sum is σ = 1165045291956. Its totient is φ = 91041389568.

The previous prime is 341405212319. The next prime is 341405212349. The reversal of 341405212320 is 23212504143.

341405212320 is a `hidden beast` number, since 3 + 4 + 1 + 405 + 21 + 232 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 314492153616 + 26913058704 = 560796^2 + 164052^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118542037 + ... + 118544916.

Almost surely, 2341405212320 is an apocalyptic number.

341405212320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

341405212320 is an abundant number, since it is smaller than the sum of its proper divisors (823640079636).

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

341405212320 is a wasteful number, since it uses less digits than its factorization.

341405212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237086974 (or 237086963 counting only the distinct ones).

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

Adding to 341405212320 its reverse (23212504143), we get a palindrome (364617716463).

The spelling of 341405212320 in words is "three hundred forty-one billion, four hundred five million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 237086953 474173906 711260859 948347812 1185434765 1422521718 1896695624 2133782577 2370869530 2845043436 3556304295 3793391248 4267565154 4741739060 5690086872 7112608590 7586782496 8535130308 9483478120 10668912885 11380173744 14225217180 17070260616 18966956240 21337825770 22760347488 28450434360 34140521232 37933912480 42675651540 56900868720 68281042464 85351303080 113801737440 170702606160 341405212320