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3283669242 = 2327231111971
BaseRepresentation
bin1100001110111000…
…1101000011111010
322110211210200101100
43003232031003322
523211104403432
61301500232230
7144241504500
oct30356150372
98424720340
103283669242
111435600337
1277783b676
134043b5069
14232168670
1514342907c
hexc3b8d0fa

3283669242 has 72 divisors (see below), whose sum is σ = 8303491872. Its totient is φ = 935096400.

The previous prime is 3283669199. The next prime is 3283669297. The reversal of 3283669242 is 2429663823.

It is a happy 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 35 ways as a sum of consecutive naturals, for example, 268317 + ... + 280287.

It is an arithmetic number, because the mean of its divisors is an integer number (115326276).

Almost surely, 23283669242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283669242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151745936).

3283669242 is an abundant number, since it is smaller than the sum of its proper divisors (5019822630).

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

3283669242 is a wasteful number, since it uses less digits than its factorization.

3283669242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12304 (or 12294 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 3283669242 is about 57303.3091714606. The cubic root of 3283669242 is about 1486.3455993792.

The spelling of 3283669242 in words is "three billion, two hundred eighty-three million, six hundred sixty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 311 441 622 882 933 1866 2177 2799 4354 5598 6531 11971 13062 15239 19593 23942 30478 35913 39186 45717 71826 83797 91434 107739 137151 167594 215478 251391 274302 502782 586579 754173 1173158 1508346 1759737 3519474 3722981 5279211 7445962 10558422 11168943 22337886 26060867 33506829 52121734 67013658 78182601 156365202 182426069 234547803 364852138 469095606 547278207 1094556414 1641834621 3283669242