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343145312505 = 32522133445753
BaseRepresentation
bin1001111111001010000…
…11011111000011111001
31012210201101102222212100
410333211003133003321
521110230200000010
6421345550534013
733535314013422
oct4774503370371
91183641388770
10343145312505
11122588646166
1256606807309
1326487712b18
1412873340649
158dd53902c0
hex4fe50df0f9

343145312505 has 24 divisors (see below), whose sum is σ = 595054149768. Its totient is φ = 182928082176.

The previous prime is 343145312473. The next prime is 343145312513. The reversal of 343145312505 is 505213541343.

343145312505 is a `hidden beast` number, since 3 + 4 + 3 + 145 + 3 + 1 + 2 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 192241033209 + 150904279296 = 438453^2 + 388464^2 .

It is not a de Polignac number, because 343145312505 - 25 = 343145312473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 343145312505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1623292 + ... + 1822461.

It is an arithmetic number, because the mean of its divisors is an integer number (24793922907).

Almost surely, 2343145312505 is an apocalyptic number.

It is an amenable number.

343145312505 is a deficient number, since it is larger than the sum of its proper divisors (251908837263).

343145312505 is a wasteful number, since it uses less digits than its factorization.

343145312505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447977 (or 3447974 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 343145312505 its reverse (505213541343), we get a palindrome (848358853848).

The spelling of 343145312505 in words is "three hundred forty-three billion, one hundred forty-five million, three hundred twelve thousand, five hundred five".

Divisors: 1 3 5 9 15 45 2213 6639 11065 19917 33195 99585 3445753 10337259 17228765 31011777 51686295 155058885 7625451389 22876354167 38127256945 68629062501 114381770835 343145312505