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334048 = 25111373
BaseRepresentation
bin1010001100011100000
3121222020011
41101203200
541142143
611054304
72560621
oct1214340
9558204
10334048
11208a80
12141394
13b9080
1489a48
1568e9d
hex518e0

334048 has 48 divisors (see below), whose sum is σ = 783216. Its totient is φ = 138240.

The previous prime is 334043. The next prime is 334049. The reversal of 334048 is 840433.

It is a super-2 number, since 2×3340482 = 223176132608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4540 + ... + 4612.

It is an arithmetic number, because the mean of its divisors is an integer number (16317).

2334048 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 334048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391608).

334048 is an abundant number, since it is smaller than the sum of its proper divisors (449168).

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

334048 is a wasteful number, since it uses less digits than its factorization.

334048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 334048 is about 577.9688572925. The cubic root of 334048 is about 69.3856442829.

The spelling of 334048 in words is "three hundred thirty-four thousand, forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 73 88 104 143 146 176 208 286 292 352 416 572 584 803 949 1144 1168 1606 1898 2288 2336 3212 3796 4576 6424 7592 10439 12848 15184 20878 25696 30368 41756 83512 167024 334048