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4134276 = 2232412801
BaseRepresentation
bin1111110001010110000100
321210001011100
433301112010
52024244101
6224340100
750066166
oct17612604
97701140
104134276
112374163
121474630
13b19a23
14798936
15569e86
hex3f1584

4134276 has 36 divisors (see below), whose sum is σ = 10709244. Its totient is φ = 1344000.

The previous prime is 4134257. The next prime is 4134283. The reversal of 4134276 is 6724314.

4134276 = 162 + 172 + ... + 2312.

4134276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 980100 + 3154176 = 990^2 + 1776^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 76 + ... + 2876.

It is an arithmetic number, because the mean of its divisors is an integer number (297479).

Almost surely, 24134276 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 4134276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354622).

4134276 is an abundant number, since it is smaller than the sum of its proper divisors (6574968).

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

4134276 is a wasteful number, since it uses less digits than its factorization.

4134276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2847 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 4134276 is about 2033.2919121464. The cubic root of 4134276 is about 160.4968410011.

The spelling of 4134276 in words is "four million, one hundred thirty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2801 5602 8403 11204 16806 25209 33612 50418 100836 114841 229682 344523 459364 689046 1033569 1378092 2067138 4134276