Search a number
-
+
339319552 = 28111322331
BaseRepresentation
bin10100001110011…
…001101100000000
3212122111012220211
4110032121230000
51143331211202
653400443504
711260111555
oct2416315400
9778435824
10339319552
1116459a890
1295779594
13553b6a00
14330caa2c
151ebc91d7
hex14399b00

339319552 has 216 divisors, whose sum is σ = 861815808. Its totient is φ = 131788800.

The previous prime is 339319543. The next prime is 339319553. The reversal of 339319552 is 255913933.

It is not an unprimeable number, because it can be changed into a prime (339319553) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10945777 + ... + 10945807.

It is an arithmetic number, because the mean of its divisors is an integer number (3989888).

Almost surely, 2339319552 is an apocalyptic number.

339319552 is a gapful number since it is divisible by the number (32) 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 339319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430907904).

339319552 is an abundant number, since it is smaller than the sum of its proper divisors (522496256).

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

339319552 is a wasteful number, since it uses less digits than its factorization.

339319552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its digits is 109350, while the sum is 40.

The square root of 339319552 is about 18420.6284366196. The cubic root of 339319552 is about 697.4872850463.

The spelling of 339319552 in words is "three hundred thirty-nine million, three hundred nineteen thousand, five hundred fifty-two".