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364528836 = 22347222961
BaseRepresentation
bin10101101110100…
…100010011000100
3221101220222120000
4111232210103010
51221304410321
6100101041300
712014305200
oct2556442304
9841828500
10364528836
11177848a01
12a20b6230
135a6a2249
14365adb00
1522008826
hex15ba44c4

364528836 has 90 divisors (see below), whose sum is σ = 1108582398. Its totient is φ = 104146560.

The previous prime is 364528793. The next prime is 364528837. The reversal of 364528836 is 638825463.

It is a happy number.

364528836 is a `hidden beast` number, since 364 + 5 + 288 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 333792900 + 30735936 = 18270^2 + 5544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 364528791 and 364528800.

It is not an unprimeable number, because it can be changed into a prime (364528837) 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 29 ways as a sum of consecutive naturals, for example, 4396 + ... + 27356.

Almost surely, 2364528836 is an apocalyptic number.

364528836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364528836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554291199).

364528836 is an abundant number, since it is smaller than the sum of its proper divisors (744053562).

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

364528836 is a wasteful number, since it uses less digits than its factorization.

364528836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22991 (or 22973 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 364528836 is about 19092.6382671437. The cubic root of 364528836 is about 714.3493100481.

The spelling of 364528836 in words is "three hundred sixty-four million, five hundred twenty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 22961 45922 68883 91844 137766 160727 206649 275532 321454 413298 482181 619947 642908 826596 964362 1125089 1239894 1446543 1859841 1928724 2250178 2479788 2893086 3375267 3719682 4339629 4500356 5786172 6750534 7439364 8679258 10125801 13018887 13501068 17358516 20251602 26037774 30377403 40503204 52075548 60754806 91132209 121509612 182264418 364528836