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349226048 = 26431131123
BaseRepresentation
bin10100110100001…
…100010001000000
3220100010112002002
4110310030101000
51203400213143
654353043132
711440241513
oct2464142100
9810115062
10349226048
1116a146776
1298b564a8
1357474b42
1434548d7a
15209d45b8
hex14d0c440

349226048 has 56 divisors (see below), whose sum is σ = 716023968. Its totient is φ = 168892416.

The previous prime is 349226039. The next prime is 349226071. The reversal of 349226048 is 840622943.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310415 + ... + 311537.

Almost surely, 2349226048 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 349226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358011984).

349226048 is an abundant number, since it is smaller than the sum of its proper divisors (366797920).

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

349226048 is a wasteful number, since it uses less digits than its factorization.

349226048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 349226048 is about 18687.5907489435. The cubic root of 349226048 is about 704.2100354711.

The spelling of 349226048 in words is "three hundred forty-nine million, two hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 113 172 226 344 452 688 904 1123 1376 1808 2246 2752 3616 4492 4859 7232 8984 9718 17968 19436 35936 38872 48289 71872 77744 96578 126899 155488 193156 253798 310976 386312 507596 772624 1015192 1545248 2030384 3090496 4060768 5456657 8121536 10913314 21826628 43653256 87306512 174613024 349226048