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3332948124 = 22311172364577
BaseRepresentation
bin1100011010101000…
…1100000010011100
322121021112022022010
43012222030002130
523311213314444
61310420351220
7145410406632
oct30652140234
98537468263
103332948124
1114603a9290
12790245510
1341167a16c
14238915352
151479102b9
hexc6a8c09c

3332948124 has 96 divisors (see below), whose sum is σ = 9373625856. Its totient is φ = 909230080.

The previous prime is 3332948093. The next prime is 3332948153. The reversal of 3332948124 is 4218492333.

It is a super-2 number, since 2×33329481242 = 22217086394550238752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19324 + ... + 83900.

It is an arithmetic number, because the mean of its divisors is an integer number (97641936).

Almost surely, 23332948124 is an apocalyptic number.

3332948124 is a gapful number since it is divisible by the number (34) 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 3332948124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686812928).

3332948124 is an abundant number, since it is smaller than the sum of its proper divisors (6040677732).

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

3332948124 is a wasteful number, since it uses less digits than its factorization.

3332948124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64635 (or 64633 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 3332948124 is about 57731.6908118929. The cubic root of 3332948124 is about 1493.7440373378.

The spelling of 3332948124 in words is "three billion, three hundred thirty-two million, nine hundred forty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 102 132 138 187 204 253 276 374 391 506 561 748 759 782 1012 1122 1173 1518 1564 2244 2346 3036 4301 4692 8602 12903 17204 25806 51612 64577 129154 193731 258308 387462 710347 774924 1097809 1420694 1485271 2131041 2195618 2841388 2970542 3293427 4262082 4391236 4455813 5941084 6586854 8524164 8911626 12075899 13173708 16337981 17823252 24151798 25249607 32675962 36227697 48303596 49013943 50499214 65351924 72455394 75748821 98027886 100998428 144910788 151497642 196055772 277745677 302995284 555491354 833237031 1110982708 1666474062 3332948124