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3352233040 = 245135361997
BaseRepresentation
bin1100011111001111…
…0000010001010000
322122121211002020021
43013303300101100
523331132424130
61312345553224
7146033340112
oct30763602120
98577732207
103352233040
111470280332
127967a5814
1341566cc60
1423b2d53b2
1514946e37a
hexc7cf0450

3352233040 has 160 divisors (see below), whose sum is σ = 8700755616. Its totient is φ = 1193287680.

The previous prime is 3352233013. The next prime is 3352233097. The reversal of 3352233040 is 403322533.

It can be written as a sum of positive squares in 16 ways, for example, as 1211875344 + 2140357696 = 34812^2 + 46264^2 .

It is a super-2 number, since 2×33522330402 = 22474932708935283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3352232996 and 3352233014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3361822 + ... + 3362818.

Almost surely, 23352233040 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 3352233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350377808).

3352233040 is an abundant number, since it is smaller than the sum of its proper divisors (5348522576).

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

3352233040 is a wasteful number, since it uses less digits than its factorization.

3352233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

The square root of 3352233040 is about 57898.4718278471. The cubic root of 3352233040 is about 1496.6195042592.

Adding to 3352233040 its reverse (403322533), we get a palindrome (3755555573).

The spelling of 3352233040 in words is "three billion, three hundred fifty-two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 61 65 80 104 106 122 130 208 212 244 260 265 305 424 488 520 530 610 689 793 848 976 997 1040 1060 1220 1378 1586 1994 2120 2440 2756 3172 3233 3445 3965 3988 4240 4880 4985 5512 6344 6466 6890 7930 7976 9970 11024 12688 12932 12961 13780 15860 15952 16165 19940 25864 25922 27560 31720 32330 39880 42029 51728 51844 52841 55120 60817 63440 64660 64805 79760 84058 103688 105682 121634 129320 129610 168116 207376 210145 211364 243268 258640 259220 264205 304085 336232 420290 422728 486536 518440 528410 608170 672464 686933 790621 840580 845456 973072 1036880 1056820 1216340 1373866 1581242 1681160 2113640 2432680 2747732 3162484 3223301 3362320 3434665 3953105 4227280 4865360 5495464 6324968 6446602 6869330 7906210 10990928 12649936 12893204 13738660 15812420 16116505 25786408 27477320 31624840 32233010 41902913 51572816 54954640 63249680 64466020 83805826 128932040 167611652 209514565 257864080 335223304 419029130 670446608 838058260 1676116520 3352233040