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306313532420 = 22572571547399
BaseRepresentation
bin1000111010100011011…
…01011001010000000100
31002021122111221201001012
410131101231121100010
520004312231014140
6352415110021352
731062510031400
oct4352155312004
91067574851035
10306313532420
111089a8004695
124b447947858
1322b67b52acc
1410b7b848100
157e7baca265
hex4751b59404

306313532420 has 72 divisors (see below), whose sum is σ = 749592043200. Its totient is φ = 104837664960.

The previous prime is 306313532407. The next prime is 306313532431. The reversal of 306313532420 is 24235313603.

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, 285881 + ... + 833279.

It is an arithmetic number, because the mean of its divisors is an integer number (10411000600).

Almost surely, 2306313532420 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 306313532420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374796021600).

306313532420 is an abundant number, since it is smaller than the sum of its proper divisors (443278510780).

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

306313532420 is a wasteful number, since it uses less digits than its factorization.

306313532420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547993 (or 547984 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The spelling of 306313532420 in words is "three hundred six billion, three hundred thirteen million, five hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 571 980 1142 2284 2855 3997 5710 7994 11420 15988 19985 27979 39970 55958 79940 111916 139895 279790 547399 559580 1094798 2189596 2736995 3831793 5473990 7663586 10947980 15327172 19158965 26822551 38317930 53645102 76635860 107290204 134112755 268225510 312564829 536451020 625129658 1250259316 1562824145 2187953803 3125648290 4375907606 6251296580 8751815212 10939769015 15315676621 21879538030 30631353242 43759076060 61262706484 76578383105 153156766210 306313532420