Search a number
-
+
341414306040 = 233513799206183
BaseRepresentation
bin1001111011111011110…
…00001110000011111000
31012122020202020202101210
410331331320032003320
521043204030243130
6420502113243120
733444364501353
oct4757570160370
91178222222353
10341414306040
1112187a525405
1256202b634a0
132626cbcb442
141274b4a729a
158d334145b0
hex4f7de0e0f8

341414306040 has 64 divisors (see below), whose sum is σ = 1024322112000. Its totient is φ = 91036775552.

The previous prime is 341414305993. The next prime is 341414306059. The reversal of 341414306040 is 40603414143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 341414305989 and 341414306007.

It is a congruent 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, 1552789 + ... + 1758971.

It is an arithmetic number, because the mean of its divisors is an integer number (16005033000).

Almost surely, 2341414306040 is an apocalyptic number.

341414306040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

341414306040 is an abundant number, since it is smaller than the sum of its proper divisors (682907805960).

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

341414306040 is a wasteful number, since it uses less digits than its factorization.

341414306040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219996 (or 219992 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 341414306040 in words is "three hundred forty-one billion, four hundred fourteen million, three hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 13799 27598 41397 55196 68995 82794 110392 137990 165588 206183 206985 275980 331176 412366 413970 551960 618549 824732 827940 1030915 1237098 1649464 1655880 2061830 2474196 3092745 4123660 4948392 6185490 8247320 12370980 24741960 2845119217 5690238434 8535357651 11380476868 14225596085 17070715302 22760953736 28451192170 34141430604 42676788255 56902384340 68282861208 85353576510 113804768680 170707153020 341414306040