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349903512 = 23327241259
BaseRepresentation
bin10100110110110…
…001101010011000
3220101101221101100
4110312301222120
51204033403022
654415351400
711446062600
oct2466615230
9811357340
10349903512
1116a569762
1299222560
13576512ca
1434683c00
1520aba1ac
hex14db1a98

349903512 has 216 divisors, whose sum is σ = 1149068700. Its totient is φ = 95880960.

The previous prime is 349903481. The next prime is 349903523. The reversal of 349903512 is 215309943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5930539 + ... + 5930597.

Almost surely, 2349903512 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 349903512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574534350).

349903512 is an abundant number, since it is smaller than the sum of its proper divisors (799165188).

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

349903512 is a wasteful number, since it uses less digits than its factorization.

349903512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 349903512 is about 18705.7080058468. The cubic root of 349903512 is about 704.6651072774.

The spelling of 349903512 in words is "three hundred forty-nine million, nine hundred three thousand, five hundred twelve".