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349151744 = 294315859
BaseRepresentation
bin10100110011111…
…010001000000000
3220022222202011002
4110303322020000
51203340323434
654351311132
711436512054
oct2463721000
9808882132
10349151744
1116a0a5967
1298b1b4a8
135744a086
1434529c64
15209bc57e
hex14cfa200

349151744 has 40 divisors (see below), whose sum is σ = 713890320. Its totient is φ = 170505216.

The previous prime is 349151711. The next prime is 349151749. The reversal of 349151744 is 447151943.

It is a junction number, because it is equal to n+sod(n) for n = 349151698 and 349151707.

It is not an unprimeable number, because it can be changed into a prime (349151749) 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 3 ways as a sum of consecutive naturals, for example, 14087 + ... + 29945.

It is an arithmetic number, because the mean of its divisors is an integer number (17847258).

Almost surely, 2349151744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349151744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356945160).

349151744 is an abundant number, since it is smaller than the sum of its proper divisors (364738576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349151744 is an equidigital number, since it uses as much as digits as its factorization.

349151744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15920 (or 15904 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 349151744 is about 18685.6025859484. The cubic root of 349151744 is about 704.1600875607.

The spelling of 349151744 in words is "three hundred forty-nine million, one hundred fifty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1376 2752 5504 11008 15859 22016 31718 63436 126872 253744 507488 681937 1014976 1363874 2029952 2727748 4059904 5455496 8119808 10910992 21821984 43643968 87287936 174575872 349151744