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343070963761 = 588164819001
BaseRepresentation
bin1001111111000001001…
…11110111100000110001
31012210112012112200120011
410333200213313200301
521110102131320021
6421334333214521
733533422035301
oct4774047674061
91183465480504
10343070963761
1112254a684919
12565a5931441
13264751b0a96
1412867509601
158dcdaa5de1
hex4fe09f7831

343070963761 has 8 divisors (see below), whose sum is σ = 343220370248. Its totient is φ = 342921600000.

The previous prime is 343070963737. The next prime is 343070963771. The reversal of 343070963761 is 167369070343.

343070963761 = T478239 + T478240 + T478241.

It can be written as a sum of positive squares in 4 ways, for example, as 135995000625 + 207075963136 = 368775^2 + 455056^2 .

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

It is a 7-Lehmer number, since φ(343070963761) divides (343070963761-1)7.

It is a cyclic number.

It is not a de Polignac number, because 343070963761 - 223 = 343062575153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (343070963771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38110261 + ... + 38119261.

It is an arithmetic number, because the mean of its divisors is an integer number (42902546281).

Almost surely, 2343070963761 is an apocalyptic number.

343070963761 is the 478241-st centered triangular number.

It is an amenable number.

343070963761 is a deficient number, since it is larger than the sum of its proper divisors (149406487).

343070963761 is an equidigital number, since it uses as much as digits as its factorization.

343070963761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21363.

The product of its (nonzero) digits is 1714608, while the sum is 49.

The spelling of 343070963761 in words is "three hundred forty-three billion, seventy million, nine hundred sixty-three thousand, seven hundred sixty-one".

Divisors: 1 5881 6481 9001 38114761 52934881 58335481 343070963761