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349433860 = 225313731511
BaseRepresentation
bin10100110100111…
…111000000000100
3220100112002010211
4110310333000010
51203423340420
654401325204
711442065416
oct2464770004
9810462124
10349433860
1116a278916
1299036804
13575185c9
14345a09b6
1520a25e5a
hex14d3f004

349433860 has 48 divisors (see below), whose sum is σ = 760015872. Its totient is φ = 134812800.

The previous prime is 349433837. The next prime is 349433869. The reversal of 349433860 is 68334943.

It is not an unprimeable number, because it can be changed into a prime (349433869) 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, 230505 + ... + 232015.

It is an arithmetic number, because the mean of its divisors is an integer number (15833664).

Almost surely, 2349433860 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 349433860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380007936).

349433860 is an abundant number, since it is smaller than the sum of its proper divisors (410582012).

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

349433860 is a wasteful number, since it uses less digits than its factorization.

349433860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 349433860 is about 18693.1500823162. The cubic root of 349433860 is about 704.3496912217.

The spelling of 349433860 in words is "three hundred forty-nine million, four hundred thirty-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 373 620 746 1492 1511 1865 3022 3730 6044 7460 7555 11563 15110 23126 30220 46252 46841 57815 93682 115630 187364 231260 234205 468410 563603 936820 1127206 2254412 2818015 5636030 11272060 17471693 34943386 69886772 87358465 174716930 349433860