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3648230352 = 24321315712413
BaseRepresentation
bin1101100101110011…
…1001001111010000
3100102020210022012200
43121130321033100
524432421332402
61402002123200
7156256306044
oct33134711720
910366708180
103648230352
111602370508
12859950500
13461a98bb0
14268746024
1516543c21c
hexd97393d0

3648230352 has 120 divisors (see below), whose sum is σ = 11066286504. Its totient is φ = 1115292672.

The previous prime is 3648230351. The next prime is 3648230357. The reversal of 3648230352 is 2530328463.

It is a happy number.

3648230352 is a `hidden beast` number, since 3 + 648 + 2 + 3 + 0 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 3647676816 = 744^2 + 60396^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648230351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287698 + ... + 300110.

Almost surely, 23648230352 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 3648230352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533143252).

3648230352 is an abundant number, since it is smaller than the sum of its proper divisors (7418056152).

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

3648230352 is a wasteful number, since it uses less digits than its factorization.

3648230352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12597 (or 12588 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3648230352 is about 60400.5823812983. The cubic root of 3648230352 is about 1539.4328535076.

The spelling of 3648230352 in words is "three billion, six hundred forty-eight million, two hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 157 208 234 312 314 468 471 624 628 936 942 1256 1413 1872 1884 2041 2512 2826 3768 4082 5652 6123 7536 8164 11304 12246 12413 16328 18369 22608 24492 24826 32656 36738 37239 48984 49652 73476 74478 97968 99304 111717 146952 148956 161369 198608 223434 293904 297912 322738 446868 484107 595824 645476 893736 968214 1290952 1452321 1787472 1936428 1948841 2581904 2904642 3872856 3897682 5809284 5846523 7745712 7795364 11618568 11693046 15590728 17539569 23237136 23386092 25334933 31181456 35079138 46772184 50669866 70158276 76004799 93544368 101339732 140316552 152009598 202679464 228014397 280633104 304019196 405358928 456028794 608038392 912057588 1216076784 1824115176 3648230352