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334483424 = 25115317929
BaseRepresentation
bin10011111011111…
…100111111100000
3212022101111222222
4103323330333200
51141111432144
653105050212
711201030222
oct2373747740
9768344888
10334483424
11161897390
1294026968
13543b26b2
14325cc412
151e5712ee
hex13efcfe0

334483424 has 48 divisors (see below), whose sum is σ = 731974320. Its totient is φ = 149160960.

The previous prime is 334483423. The next prime is 334483447. The reversal of 334483424 is 424384433.

It is a super-2 number, since 2×3344834242 = 223758321861527552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334483423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9692 + ... + 27620.

It is an arithmetic number, because the mean of its divisors is an integer number (15249465).

Almost surely, 2334483424 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 334483424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365987160).

334483424 is an abundant number, since it is smaller than the sum of its proper divisors (397490896).

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

334483424 is a wasteful number, since it uses less digits than its factorization.

334483424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18003 (or 17995 counting only the distinct ones).

The product of its digits is 110592, while the sum is 35.

The square root of 334483424 is about 18288.8879924396. The cubic root of 334483424 is about 694.1577873199.

It can be divided in two parts, 3344 and 83424, that added together give a palindrome (86768).

The spelling of 334483424 in words is "three hundred thirty-four million, four hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 4664 9328 17929 18656 35858 71716 143432 197219 286864 394438 573728 788876 950237 1577752 1900474 3155504 3800948 6311008 7601896 10452607 15203792 20905214 30407584 41810428 83620856 167241712 334483424