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349294008 = 23372390397
BaseRepresentation
bin10100110100011…
…100110110111000
3220100020222022010
4110310130312320
51203404402013
654354325520
711440643610
oct2464346670
9810228263
10349294008
1116a192838
1298b898a0
1357499a5b
1434565a40
15209e97c3
hex14d1cdb8

349294008 has 64 divisors (see below), whose sum is σ = 1041384960. Its totient is φ = 95458176.

The previous prime is 349294007. The next prime is 349294013. The reversal of 349294008 is 800492943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349294003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41335 + ... + 49062.

It is an arithmetic number, because the mean of its divisors is an integer number (16271640).

Almost surely, 2349294008 is an apocalyptic number.

It is an amenable number.

349294008 is an abundant number, since it is smaller than the sum of its proper divisors (692090952).

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

349294008 is a wasteful number, since it uses less digits than its factorization.

349294008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90436 (or 90432 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 349294008 is about 18689.4089794193. The cubic root of 349294008 is about 704.2557126766.

The spelling of 349294008 in words is "three hundred forty-nine million, two hundred ninety-four thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 90397 180794 271191 361588 542382 632779 723176 1084764 1265558 1898337 2079131 2169528 2531116 3796674 4158262 5062232 6237393 7593348 8316524 12474786 14553917 15186696 16633048 24949572 29107834 43661751 49899144 58215668 87323502 116431336 174647004 349294008