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349049600 = 285254539
BaseRepresentation
bin10100110011100…
…001001100000000
3220022210120000222
4110303201030000
51203324041400
654345202212
711435605214
oct2463411400
9808716028
10349049600
1116a036149
1298a90368
1357412733
1434500944
152099c185
hex14ce1300

349049600 has 54 divisors (see below), whose sum is σ = 863968140. Its totient is φ = 139617280.

The previous prime is 349049549. The next prime is 349049609. The reversal of 349049600 is 6940943.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (349049609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20870 + ... + 33669.

It is an arithmetic number, because the mean of its divisors is an integer number (15999410).

Almost surely, 2349049600 is an apocalyptic number.

It is an amenable number.

349049600 is an abundant number, since it is smaller than the sum of its proper divisors (514918540).

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

349049600 is an equidigital number, since it uses as much as digits as its factorization.

349049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54565 (or 54546 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 349049600 is about 18682.8691586705. The cubic root of 349049600 is about 704.0914137493.

The spelling of 349049600 in words is "three hundred forty-nine million, forty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 54539 109078 218156 272695 436312 545390 872624 1090780 1363475 1745248 2181560 2726950 3490496 4363120 5453900 6980992 8726240 10907800 13961984 17452480 21815600 34904960 43631200 69809920 87262400 174524800 349049600