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3330631134 = 23231431271093
BaseRepresentation
bin1100011010000101…
…0110010111011110
322121010011120222200
43012201112113132
523310120144014
61310254552330
7145351616565
oct30641262736
98533146880
103330631134
11145a066516
1278b5086a6
1341104866c
142384b0bdc
15147603a09
hexc68565de

3330631134 has 96 divisors (see below), whose sum is σ = 7689437184. Its totient is φ = 1040195520.

The previous prime is 3330631111. The next prime is 3330631147. The reversal of 3330631134 is 4311360333.

It is a super-2 number, since 2×33306311342 = 22186207501540251912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3330631098 and 3330631107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3046692 + ... + 3047784.

It is an arithmetic number, because the mean of its divisors is an integer number (80098304).

Almost surely, 23330631134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330631134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844718592).

3330631134 is an abundant number, since it is smaller than the sum of its proper divisors (4358806050).

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

3330631134 is a wasteful number, since it uses less digits than its factorization.

3330631134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3330631134 is about 57711.6204416407. The cubic root of 3330631134 is about 1493.3978180970.

Adding to 3330631134 its reverse (4311360333), we get a palindrome (7641991467).

The spelling of 3330631134 in words is "three billion, three hundred thirty million, six hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 43 62 86 93 127 129 186 254 258 279 381 387 558 762 774 1093 1143 1333 2186 2286 2666 3279 3937 3999 5461 6558 7874 7998 9837 10922 11811 11997 16383 19674 23622 23994 32766 33883 35433 46999 49149 67766 70866 93998 98298 101649 138811 140997 169291 203298 277622 281994 304947 338582 416433 422991 507873 609894 832866 845982 1015746 1249299 1456969 1523619 2498598 2913938 3047238 4303141 4370907 5968873 8606282 8741814 11937746 12909423 13112721 17906619 25818846 26225442 35813238 38728269 53719857 77456538 107439714 185035063 370070126 555105189 1110210378 1665315567 3330631134