Search a number
-
+
345104929 = 13214292
BaseRepresentation
bin10100100100011…
…110001000100001
3220001101010222001
4110210132020201
51201321324204
654124444001
711360225551
oct2444361041
9801333861
10345104929
11167891494
12976a9601
1356661100
1433b95161
152046d4a4
hex1491e221

345104929 has 9 divisors (see below), whose sum is σ = 373955193. Its totient is φ = 318335472.

The previous prime is 345104911. The next prime is 345104933. The reversal of 345104929 is 929401543.

The square root of 345104929 is 18577.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 216237025 + 128867904 = 14705^2 + 11352^2 .

It is not a de Polignac number, because 345104929 - 217 = 344973857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345104939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 240787 + ... + 242215.

It is an arithmetic number, because the mean of its divisors is an integer number (41550577).

Almost surely, 2345104929 is an apocalyptic number.

345104929 is the 18577-th square number.

345104929 is the 9289-th centered octagonal number.

It is an amenable number.

345104929 is a deficient number, since it is larger than the sum of its proper divisors (28850264).

345104929 is an frugal number, since it uses more digits than its factorization.

345104929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The cubic root of 345104929 is about 701.4290052817.

It can be divided in two parts, 34510 and 4929, that multiplied together give a triangular number (170099790 = T18444).

The spelling of 345104929 in words is "three hundred forty-five million, one hundred four thousand, nine hundred twenty-nine".

Divisors: 1 13 169 1429 18577 241501 2042041 26546533 345104929