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4364136 = 2332721237
BaseRepresentation
bin10000101001011101101000
322012201110200
4100221131220
52104123021
6233312200
752044300
oct20513550
98181420
104364136
112510927
121565660
13b9a53a
14818600
155b3126
hex429768

4364136 has 72 divisors (see below), whose sum is σ = 13760370. Its totient is φ = 1245888.

The previous prime is 4364111. The next prime is 4364147. The reversal of 4364136 is 6314634.

It can be written as a sum of positive squares in only one way, i.e., 3261636 + 1102500 = 1806^2 + 1050^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2910 + ... + 4146.

Almost surely, 24364136 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 4364136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880185).

4364136 is an abundant number, since it is smaller than the sum of its proper divisors (9396234).

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

4364136 is a wasteful number, since it uses less digits than its factorization.

4364136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1249 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 4364136 is about 2089.0514593949. The cubic root of 4364136 is about 163.4178247662.

The spelling of 4364136 in words is "four million, three hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1237 1764 2474 3528 3711 4948 7422 8659 9896 11133 14844 17318 22266 25977 29688 34636 44532 51954 60613 69272 77931 89064 103908 121226 155862 181839 207816 242452 311724 363678 484904 545517 623448 727356 1091034 1454712 2182068 4364136