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341372592289 = 1873748924337
BaseRepresentation
bin1001111011110110110…
…01000110000010100001
31012122010211202110220001
410331323121012002201
521043112340423124
6420454023220001
733443350105051
oct4757331060241
91178124673801
10341372592289
11121858a24233
12561b0ba7601
1326264384851
1412745b29561
158d2e924b44
hex4f7b6460a1

341372592289 has 8 divisors (see below), whose sum is σ = 341614495880. Its totient is φ = 341130756096.

The previous prime is 341372592287. The next prime is 341372592299. The reversal of 341372592289 is 982295273143.

It can be written as a sum of positive squares in 4 ways, for example, as 69889910689 + 271482681600 = 264367^2 + 521040^2 .

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

It is a 4-Lehmer number, since φ(341372592289) divides (341372592289-1)4.

It is a cyclic number.

It is not a de Polignac number, because 341372592289 - 21 = 341372592287 is a prime.

It is a super-2 number, since 2×3413725922892 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (341372592287) by changing a digit.

It is a Zeisel number, with parameters (3, 1870).

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, 14014729 + ... + 14039065.

It is an arithmetic number, because the mean of its divisors is an integer number (42701811985).

Almost surely, 2341372592289 is an apocalyptic number.

It is an amenable number.

341372592289 is a deficient number, since it is larger than the sum of its proper divisors (241903591).

341372592289 is a wasteful number, since it uses less digits than its factorization.

341372592289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33699.

The product of its digits is 6531840, while the sum is 55.

It can be divided in two parts, 341372 and 592289, that added together give a triangular number (933661 = T1366).

The spelling of 341372592289 in words is "three hundred forty-one billion, three hundred seventy-two million, five hundred ninety-two thousand, two hundred eighty-nine".

Divisors: 1 1873 7489 24337 14026897 45583201 182259793 341372592289