Search a number
-
+
307462428 = 2232713127739
BaseRepresentation
bin10010010100111…
…000000100011100
3210102112201011100
4102110320010130
51112202244203
650301553100
710422246630
oct2224700434
9712481140
10307462428
11148611089
1286b75790
134b911640
142cb96dc0
151bed4ea3
hex1253811c

307462428 has 144 divisors (see below), whose sum is σ = 965386240. Its totient is φ = 80341632.

The previous prime is 307462411. The next prime is 307462429. The reversal of 307462428 is 824264703.

307462428 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 624 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 307462392 and 307462401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307462429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415683 + ... + 416421.

Almost surely, 2307462428 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 307462428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482693120).

307462428 is an abundant number, since it is smaller than the sum of its proper divisors (657923812).

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

307462428 is a wasteful number, since it uses less digits than its factorization.

307462428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 307462428 is about 17534.6065824130. The cubic root of 307462428 is about 674.9382132745.

The spelling of 307462428 in words is "three hundred seven million, four hundred sixty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 127 156 182 234 252 254 273 364 381 468 508 546 739 762 819 889 1092 1143 1478 1524 1638 1651 1778 2217 2286 2667 2956 3276 3302 3556 4434 4572 4953 5173 5334 6604 6651 8001 8868 9607 9906 10346 10668 11557 13302 14859 15519 16002 19214 19812 20692 23114 26604 28821 29718 31038 32004 34671 38428 46228 46557 57642 59436 62076 67249 69342 86463 93114 93853 104013 115284 134498 138684 172926 186228 187706 201747 208026 268996 281559 345852 375412 403494 416052 563118 605241 656971 806988 844677 1126236 1210482 1220089 1313942 1689354 1970913 2420964 2440178 2627884 3378708 3660267 3941826 4880356 5912739 7320534 7883652 8540623 10980801 11825478 14641068 17081246 21961602 23650956 25621869 34162492 43923204 51243738 76865607 102487476 153731214 307462428