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346026016 = 25710714437
BaseRepresentation
bin10100100111111…
…111000000100000
3220010002221110101
4110213333000200
51202040313031
654200312144
711401113130
oct2447770040
9803087411
10346026016
11168360516
1297a72654
13568c442b
1433d54ac0
15205a1361
hex149ff020

346026016 has 48 divisors (see below), whose sum is σ = 785889216. Its totient is φ = 146900736.

The previous prime is 346026011. The next prime is 346026047. The reversal of 346026016 is 610620643.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (346026011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16750 + ... + 31186.

It is an arithmetic number, because the mean of its divisors is an integer number (16372692).

Almost surely, 2346026016 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 346026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392944608).

346026016 is an abundant number, since it is smaller than the sum of its proper divisors (439863200).

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

346026016 is a wasteful number, since it uses less digits than its factorization.

346026016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14561 (or 14553 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 346026016 is about 18601.7745390057. The cubic root of 346026016 is about 702.0524902377.

Adding to 346026016 its reverse (610620643), we get a palindrome (956646659).

The spelling of 346026016 in words is "three hundred forty-six million, twenty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 749 856 1498 1712 2996 3424 5992 11984 14437 23968 28874 57748 101059 115496 202118 230992 404236 461984 808472 1544759 1616944 3089518 3233888 6179036 10813313 12358072 21626626 24716144 43253252 49432288 86506504 173013008 346026016