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7344434812 = 221113313431
BaseRepresentation
bin1101101011100001…
…10010111001111100
3200221211211221112011
412311300302321330
5110020133403222
63212440421004
7350000444251
oct66560627174
920854757464
107344434812
113129818640
12150b777764
13900791020
144d95b9428
152ceba3c77
hex1b5c32e7c

7344434812 has 96 divisors (see below), whose sum is σ = 15639257088. Its totient is φ = 2975256000.

The previous prime is 7344434777. The next prime is 7344434813. The reversal of 7344434812 is 2184344437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7344434813) 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 31 ways as a sum of consecutive naturals, for example, 17040237 + ... + 17040667.

It is an arithmetic number, because the mean of its divisors is an integer number (162908928).

Almost surely, 27344434812 is an apocalyptic number.

It is an amenable number.

7344434812 is an abundant number, since it is smaller than the sum of its proper divisors (8294822276).

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

7344434812 is a wasteful number, since it uses less digits than its factorization.

7344434812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 488 counting only the distinct ones).

The product of its digits is 258048, while the sum is 40.

The square root of 7344434812 is about 85699.6780157312. The cubic root of 7344434812 is about 1943.8054411774.

The spelling of 7344434812 in words is "seven billion, three hundred forty-four million, four hundred thirty-four thousand, eight hundred twelve".

Divisors: 1 2 4 11 13 22 26 31 44 52 62 124 143 286 341 403 431 572 682 806 862 961 1364 1612 1724 1922 3844 4433 4741 5603 8866 9482 10571 11206 12493 13361 17732 18964 21142 22412 24986 26722 29791 42284 49972 53444 59582 61633 119164 123266 137423 146971 173693 246532 274846 293942 327701 347386 387283 414191 549692 587884 655402 694772 774566 828382 1310804 1549132 1656764 1910623 3821246 4260113 4556101 5384483 7642492 8520226 9112202 10768966 12839921 17040452 18224404 21537932 25679842 51359684 59229313 118458626 141239131 166918973 236917252 282478262 333837946 564956524 667675892 1836108703 3672217406 7344434812