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345200351401 = 7319324501409
BaseRepresentation
bin1010000010111111000…
…10110101100010101001
31020000000121100210021001
411001133202311202221
521123432242221101
6422325521315001
733640246400443
oct5013742654251
91200017323231
10345200351401
11123442665314
1256a9aa95a61
13267243bac79
14129ca245493
158ea59c5901
hex505f8b58a9

345200351401 has 8 divisors (see below), whose sum is σ = 351742241960. Its totient is φ = 338707464192.

The previous prime is 345200351341. The next prime is 345200351423. The reversal of 345200351401 is 104153002543.

It can be written as a sum of positive squares in 4 ways, for example, as 106811312400 + 238389039001 = 326820^2 + 488251^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 345200351401 - 231 = 343052867753 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 345200351401.

It is not an unprimeable number, because it can be changed into a prime (345200351501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12236616 + ... + 12264793.

It is an arithmetic number, because the mean of its divisors is an integer number (43967780245).

Almost surely, 2345200351401 is an apocalyptic number.

It is an amenable number.

345200351401 is a deficient number, since it is larger than the sum of its proper divisors (6541890559).

345200351401 is a wasteful number, since it uses less digits than its factorization.

345200351401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24501675.

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 345200351401 its reverse (104153002543), we get a palindrome (449353353944).

The spelling of 345200351401 in words is "three hundred forty-five billion, two hundred million, three hundred fifty-one thousand, four hundred one".

Divisors: 1 73 193 14089 24501409 1788602857 4728771937 345200351401