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331069536 = 25327971693
BaseRepresentation
bin10011101110111…
…011100001100000
3212001222002000200
4103232323201200
51134223211121
652503545200
711130021210
oct2356734140
9761862020
10331069536
1115a975496
1292a5b200
1353788845
1431d80240
151e0e9a26
hex13bbb860

331069536 has 144 divisors (see below), whose sum is σ = 1087710624. Its totient is φ = 93560832.

The previous prime is 331069523. The next prime is 331069559. The reversal of 331069536 is 635960133.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 331069536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194706 + ... + 196398.

It is an arithmetic number, because the mean of its divisors is an integer number (7553546).

Almost surely, 2331069536 is an apocalyptic number.

331069536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331069536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543855312).

331069536 is an abundant number, since it is smaller than the sum of its proper divisors (756641088).

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

331069536 is a wasteful number, since it uses less digits than its factorization.

331069536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 331069536 is about 18195.3163204161. The cubic root of 331069536 is about 691.7880781562.

The spelling of 331069536 in words is "three hundred thirty-one million, sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 97 112 126 144 168 194 224 252 288 291 336 388 504 582 672 679 776 873 1008 1164 1358 1552 1693 1746 2016 2037 2328 2716 3104 3386 3492 4074 4656 5079 5432 6111 6772 6984 8148 9312 10158 10864 11851 12222 13544 13968 15237 16296 20316 21728 23702 24444 27088 27936 30474 32592 35553 40632 47404 48888 54176 60948 65184 71106 81264 94808 97776 106659 121896 142212 162528 164221 189616 195552 213318 243792 284424 328442 379232 426636 487584 492663 568848 656884 853272 985326 1137696 1149547 1313768 1477989 1706544 1970652 2299094 2627536 2955978 3413088 3448641 3941304 4598188 5255072 5911956 6897282 7882608 9196376 10345923 11823912 13794564 15765216 18392752 20691846 23647824 27589128 36785504 41383692 47295648 55178256 82767384 110356512 165534768 331069536