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3013440984 = 2332163433593
BaseRepresentation
bin1011001110011101…
…0111010111011000
321210000022122220100
42303213113113120
522132420102414
61215004255400
7134450553141
oct26347272730
97700278810
103013440984
1113070108a4
12701241560
1339040c398
14208304ac8
1512984b609
hexb39d75d8

3013440984 has 96 divisors (see below), whose sum is σ = 8244316080. Its totient is φ = 994332672.

The previous prime is 3013440889. The next prime is 3013441007. The reversal of 3013440984 is 4890443103.

3013440984 is a `hidden beast` number, since 301 + 344 + 0 + 9 + 8 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5081392 + ... + 5081984.

Almost surely, 23013440984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013440984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122158040).

3013440984 is an abundant number, since it is smaller than the sum of its proper divisors (5230875096).

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

3013440984 is a wasteful number, since it uses less digits than its factorization.

3013440984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3013440984 is about 54894.8174603031. The cubic root of 3013440984 is about 1444.4002785830.

The spelling of 3013440984 in words is "three billion, thirteen million, four hundred forty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 433 489 593 652 866 978 1186 1299 1304 1467 1732 1779 1956 2372 2598 2934 3464 3558 3897 3912 4744 5196 5337 5868 7116 7794 10392 10674 11736 14232 15588 21348 31176 42696 70579 96659 141158 193318 211737 256769 282316 289977 386636 423474 513538 564632 579954 635211 770307 773272 846948 869931 1027076 1159908 1270422 1540614 1693896 1739862 2054152 2310921 2319816 2540844 3081228 3479724 4621842 5081688 6162456 6959448 9243684 18487368 41853347 83706694 125560041 167413388 251120082 334826776 376680123 502240164 753360246 1004480328 1506720492 3013440984