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349190073 = 32295412473
BaseRepresentation
bin10100110100000…
…011011110111001
3220100001200201200
4110310003132321
51203343040243
654352204413
711440031601
oct2464033671
9810050650
10349190073
1116a121741
1298b39709
135746165b
1434539c01
15209c8ad3
hex14d037b9

349190073 has 24 divisors (see below), whose sum is σ = 522954120. Its totient is φ = 224259840.

The previous prime is 349190069. The next prime is 349190099. The reversal of 349190073 is 370091943.

It can be written as a sum of positive squares in 4 ways, for example, as 74857104 + 274332969 = 8652^2 + 16563^2 .

It is not a de Polignac number, because 349190073 - 22 = 349190069 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (349190003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139965 + ... + 142437.

It is an arithmetic number, because the mean of its divisors is an integer number (21789755).

Almost surely, 2349190073 is an apocalyptic number.

It is an amenable number.

349190073 is a deficient number, since it is larger than the sum of its proper divisors (173764047).

349190073 is a wasteful number, since it uses less digits than its factorization.

349190073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 349190073 is about 18686.6281870219. The cubic root of 349190073 is about 704.1858535922.

The spelling of 349190073 in words is "three hundred forty-nine million, one hundred ninety thousand, seventy-three".

Divisors: 1 3 9 29 87 261 541 1623 2473 4869 7419 15689 22257 47067 71717 141201 215151 645453 1337893 4013679 12041037 38798897 116396691 349190073