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4134816 = 253272293
BaseRepresentation
bin1111110001011110100000
321210001220100
433301132200
52024303231
6224342400
750100600
oct17613640
97701810
104134816
112374604
121474a00
13b1a04a
14798c00
1556a1e6
hex3f17a0

4134816 has 108 divisors (see below), whose sum is σ = 13724802. Its totient is φ = 1177344.

The previous prime is 4134803. The next prime is 4134817. The reversal of 4134816 is 6184314.

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 1587600 = 1596^2 + 1260^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4134816.

It is not an unprimeable number, because it can be changed into a prime (4134817) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13966 + ... + 14258.

Almost surely, 24134816 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 4134816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862401).

4134816 is an abundant number, since it is smaller than the sum of its proper divisors (9589986).

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

4134816 is a wasteful number, since it uses less digits than its factorization.

4134816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4134816 is about 2033.4246974009. The cubic root of 4134816 is about 160.5038284818.

It can be divided in two parts, 4134 and 816, that added together give a triangular number (4950 = T99).

The spelling of 4134816 in words is "four million, one hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 293 294 336 392 441 504 586 588 672 784 879 882 1008 1172 1176 1568 1758 1764 2016 2051 2344 2352 2637 3516 3528 4102 4688 4704 5274 6153 7032 7056 8204 9376 10548 12306 14064 14112 14357 16408 18459 21096 24612 28128 28714 32816 36918 42192 43071 49224 57428 65632 73836 84384 86142 98448 114856 129213 147672 172284 196896 229712 258426 295344 344568 459424 516852 590688 689136 1033704 1378272 2067408 4134816