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306484542 = 232713237389
BaseRepresentation
bin10010010001001…
…001010100111110
3210100201000202100
4102101021110332
51111430001132
650225005530
710411034640
oct2221112476
9710630670
10306484542
11148003411
12867838a6
134b65b500
142c9c0890
151bd9037c
hex1244953e

306484542 has 144 divisors (see below), whose sum is σ = 846162720. Its totient is φ = 78444288.

The previous prime is 306484537. The next prime is 306484543. The reversal of 306484542 is 245484603.

306484542 is a `hidden beast` number, since 3 + 0 + 648 + 4 + 5 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 306484497 and 306484506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306484543) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 787684 + ... + 788072.

It is an arithmetic number, because the mean of its divisors is an integer number (5876130).

Almost surely, 2306484542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306484542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423081360).

306484542 is an abundant number, since it is smaller than the sum of its proper divisors (539678178).

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

306484542 is a wasteful number, since it uses less digits than its factorization.

306484542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 306484542 is about 17506.6999174602. The cubic root of 306484542 is about 674.2219050548.

The spelling of 306484542 in words is "three hundred six million, four hundred eighty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 63 74 78 91 111 117 126 169 182 222 234 259 273 333 338 389 481 507 518 546 666 777 778 819 962 1014 1167 1183 1443 1521 1554 1638 2331 2334 2366 2723 2886 3042 3367 3501 3549 4329 4662 5057 5446 6253 6734 7002 7098 8169 8658 10101 10114 10647 12506 14393 15171 16338 18759 20202 21294 24507 28786 30303 30342 35399 37518 43179 43771 45513 49014 56277 60606 65741 70798 86358 87542 91026 100751 106197 112554 129537 131313 131482 187109 197223 201502 212394 259074 262626 302253 318591 374218 393939 394446 460187 561327 591669 604506 637182 787878 906759 920374 1122654 1183338 1309763 1380561 1683981 1813518 2432417 2619526 2761122 3367962 3929289 4141683 4864834 7297251 7858578 8283366 11787867 14594502 17026919 21891753 23575734 34053838 43783506 51080757 102161514 153242271 306484542