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3381451425 = 3252114147709
BaseRepresentation
bin1100100110001100…
…1101101010100001
322201122210112022200
43021203031222201
523411122421200
61315312123413
7146536601652
oct31143155241
98648715280
103381451425
111485817560
127a4536569
1341b730241
1424113d529
1514bce1800
hexc98cdaa1

3381451425 has 144 divisors (see below), whose sum is σ = 6922056960. Its totient is φ = 1563264000.

The previous prime is 3381451397. The next prime is 3381451427. The reversal of 3381451425 is 5241541833.

It is not a de Polignac number, because 3381451425 - 26 = 3381451361 is a prime.

It is a super-3 number, since 3×33814514253 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3381451425.

It is not an unprimeable number, because it can be changed into a prime (3381451427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4768971 + ... + 4769679.

It is an arithmetic number, because the mean of its divisors is an integer number (48069840).

Almost surely, 23381451425 is an apocalyptic number.

It is an amenable number.

3381451425 is an abundant number, since it is smaller than the sum of its proper divisors (3540605535).

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

3381451425 is a wasteful number, since it uses less digits than its factorization.

3381451425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 3381451425 is about 58150.2487097003. The cubic root of 3381451425 is about 1500.9551583193.

The spelling of 3381451425 in words is "three billion, three hundred eighty-one million, four hundred fifty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 41 45 47 55 75 99 123 141 165 205 225 235 275 369 423 451 495 517 615 705 709 825 1025 1175 1353 1551 1845 1927 2115 2127 2255 2475 2585 3075 3525 3545 4059 4653 5781 6381 6765 7755 7799 9225 9635 10575 10635 11275 12925 17343 17725 20295 21197 23265 23397 28905 29069 31905 33323 33825 38775 38995 48175 53175 63591 70191 86715 87207 99969 101475 105985 116325 116985 144525 145345 159525 166615 190773 194975 261621 299907 317955 319759 350955 366553 433575 436035 499845 529925 584925 726725 833075 953865 959277 1099659 1308105 1366243 1499535 1589775 1598795 1754775 1832765 2180175 2499225 2877831 3298977 4098729 4769325 4796385 5498295 6540525 6831215 7497675 7993975 9163825 12296187 14389155 15028673 16494885 20493645 23981925 27491475 34156075 45086019 61480935 71945775 75143365 82474425 102468225 135258057 225430095 307404675 375716825 676290285 1127150475 3381451425