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349031136 = 25321117231
BaseRepresentation
bin10100110011011…
…100101011100000
3220022202121201010
4110303130223200
51203322444021
654344540520
711435500326
oct2463345340
9808677633
10349031136
1116a023293
1298a81740
13574071cc
14344d7d16
1520996976
hex14cdcae0

349031136 has 48 divisors (see below), whose sum is σ = 920602368. Its totient is φ = 115785600.

The previous prime is 349031117. The next prime is 349031143. The reversal of 349031136 is 631130943.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent 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, 11641 + ... + 28871.

It is an arithmetic number, because the mean of its divisors is an integer number (19179216).

Almost surely, 2349031136 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 349031136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460301184).

349031136 is an abundant number, since it is smaller than the sum of its proper divisors (571571232).

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

349031136 is a wasteful number, since it uses less digits than its factorization.

349031136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17455 (or 17447 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 349031136 is about 18682.3750096180. The cubic root of 349031136 is about 704.0789985385.

The spelling of 349031136 in words is "three hundred forty-nine million, thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2532 3376 5064 6752 10128 17231 20256 34462 51693 68924 103386 137848 206772 275696 413544 551392 827088 1654176 3635741 7271482 10907223 14542964 21814446 29085928 43628892 58171856 87257784 116343712 174515568 349031136