Search a number
-
+
348720489 = 32137340829
BaseRepresentation
bin10100110010010…
…000110101101001
3220022011211120200
4110302100311221
51203233023424
654334142413
711433034545
oct2462206551
9808154520
10348720489
11169930957
1298951a09
13573289b0
1434456a25
15209348c9
hex14c90d69

348720489 has 24 divisors (see below), whose sum is σ = 549898440. Its totient is φ = 211652352.

The previous prime is 348720467. The next prime is 348720517. The reversal of 348720489 is 984027843.

It can be written as a sum of positive squares in 4 ways, for example, as 110944089 + 237776400 = 10533^2 + 15420^2 .

It is not a de Polignac number, because 348720489 - 219 = 348196201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (348720289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11874 + ... + 28955.

It is an arithmetic number, because the mean of its divisors is an integer number (22912435).

Almost surely, 2348720489 is an apocalyptic number.

348720489 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

348720489 is a deficient number, since it is larger than the sum of its proper divisors (201177951).

348720489 is a wasteful number, since it uses less digits than its factorization.

348720489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40921 (or 40918 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 348720489 is about 18674.0592534135. The cubic root of 348720489 is about 703.8700535218.

The spelling of 348720489 in words is "three hundred forty-eight million, seven hundred twenty thousand, four hundred eighty-nine".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 8541 40829 122487 367461 530777 1592331 2980517 4776993 8941551 26824653 38746721 116240163 348720489