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349254048 = 2531113219103
BaseRepresentation
bin10100110100010…
…011000110100000
3220100011221111010
4110310103012200
51203402112143
654353420520
711440416243
oct2464230640
9810157433
10349254048
1116a165810
1298b6a740
1357484800
143455525a
15209dca33
hex14d131a0

349254048 has 288 divisors, whose sum is σ = 1151055360. Its totient is φ = 91653120.

The previous prime is 349254019. The next prime is 349254079. The reversal of 349254048 is 840452943.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 349253997 and 349254015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3390765 + ... + 3390867.

It is an arithmetic number, because the mean of its divisors is an integer number (3996720).

Almost surely, 2349254048 is an apocalyptic number.

349254048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349254048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575527680).

349254048 is an abundant number, since it is smaller than the sum of its proper divisors (801801312).

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

349254048 is a wasteful number, since it uses less digits than its factorization.

349254048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 349254048 is about 18688.3398941693. The cubic root of 349254048 is about 704.2288555201.

The spelling of 349254048 in words is "three hundred forty-nine million, two hundred fifty-four thousand, forty-eight".