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334014144 = 2631739657
BaseRepresentation
bin10011111010001…
…010011011000000
3212021111200021020
4103322022123000
51141001423034
653051025440
711164034112
oct2372123300
9767450236
10334014144
111615a6852
1293a3b280
1354279c09
14325093b2
151e4cc249
hex13e8a6c0

334014144 has 28 divisors (see below), whose sum is σ = 883746264. Its totient is φ = 111337984.

The previous prime is 334014143. The next prime is 334014151. The reversal of 334014144 is 441410433.

334014144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3340141442 = 223130896784105472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (334014143) 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 3 ways as a sum of consecutive naturals, for example, 869637 + ... + 870020.

Almost surely, 2334014144 is an apocalyptic number.

It is an amenable number.

334014144 is an abundant number, since it is smaller than the sum of its proper divisors (549732120).

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

334014144 is a wasteful number, since it uses less digits than its factorization.

334014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739672 (or 1739662 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 334014144 is about 18276.0538410238. The cubic root of 334014144 is about 693.8330010911.

Adding to 334014144 its reverse (441410433), we get a palindrome (775424577).

The spelling of 334014144 in words is "three hundred thirty-four million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1739657 3479314 5218971 6958628 10437942 13917256 20875884 27834512 41751768 55669024 83503536 111338048 167007072 334014144