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3353040444 = 2231324633571
BaseRepresentation
bin1100011111011011…
…0101011000111100
322122200100002210010
43013312311120330
523331334243234
61312415143220
7146043242055
oct30766653074
98580302703
103353040444
111470781a06
12796b14b10
13415893600
1423b46572c
1514957d6e9
hexc7db563c

3353040444 has 72 divisors (see below), whose sum is σ = 8492558592. Its totient is φ = 1029188160.

The previous prime is 3353040443. The next prime is 3353040461. The reversal of 3353040444 is 4440403533.

It is a super-2 number, since 2×33530404442 = 22485760438199434272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353040443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937179 + ... + 940749.

Almost surely, 23353040444 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 3353040444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246279296).

3353040444 is an abundant number, since it is smaller than the sum of its proper divisors (5139518148).

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

3353040444 is a wasteful number, since it uses less digits than its factorization.

3353040444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The square root of 3353040444 is about 57905.4439927715. The cubic root of 3353040444 is about 1496.7396509951.

Adding to 3353040444 its reverse (4440403533), we get a palindrome (7793443977).

The spelling of 3353040444 in words is "three billion, three hundred fifty-three million, forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 463 507 676 926 1014 1389 1852 2028 2778 3571 5556 6019 7142 10713 12038 14284 18057 21426 24076 36114 42852 46423 72228 78247 92846 139269 156494 185692 234741 278538 312988 469482 557076 603499 938964 1206998 1653373 1810497 2413996 3306746 3620994 4960119 6613492 7241988 9920238 19840476 21493849 42987698 64481547 85975396 128963094 257926188 279420037 558840074 838260111 1117680148 1676520222 3353040444