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3136328 = 231353569
BaseRepresentation
bin1011111101101101001000
312220100020022
423331231020
51300330303
6151120012
735441546
oct13755510
95810208
103136328
111852408
121073008
1385a720
145b8d96
1541e438
hex2fdb48

3136328 has 32 divisors (see below), whose sum is σ = 6463800. Its totient is φ = 1417728.

The previous prime is 3136327. The next prime is 3136333. The reversal of 3136328 is 8236313.

It can be written as a sum of positive squares in 4 ways, for example, as 1965604 + 1170724 = 1402^2 + 1082^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 3136297 and 3136306.

It is not an unprimeable number, because it can be changed into a prime (3136327) 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 7 ways as a sum of consecutive naturals, for example, 5228 + ... + 5796.

Almost surely, 23136328 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 3136328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231900).

3136328 is an abundant number, since it is smaller than the sum of its proper divisors (3327472).

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

3136328 is a wasteful number, since it uses less digits than its factorization.

3136328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 637 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 3136328 is about 1770.9680968329. The cubic root of 3136328 is about 146.3773313364.

It can be divided in two parts, 313632 and 8, that multiplied together give a square (2509056 = 15842).

The spelling of 3136328 in words is "three million, one hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 569 689 1138 1378 2276 2756 4552 5512 7397 14794 29588 30157 59176 60314 120628 241256 392041 784082 1568164 3136328