Search a number
-
+
307681433748 = 2232132947482347
BaseRepresentation
bin1000111101000110011…
…11100001100010010100
31002102011211220021220100
410132203033201202110
520020112421334443
6353202532534100
731141430015043
oct4364317414224
91072154807810
10307681433748
1110953a16a157
124b769a81330
1323025373290
1410c6b3a255a
15800bc2e3d3
hex47a33e1894

307681433748 has 144 divisors (see below), whose sum is σ = 884896346880. Its totient is φ = 89461677312.

The previous prime is 307681433707. The next prime is 307681433767. The reversal of 307681433748 is 847334186703.

It is a junction number, because it is equal to n+sod(n) for n = 307681433694 and 307681433703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396711 + ... + 879057.

It is an arithmetic number, because the mean of its divisors is an integer number (6145113520).

Almost surely, 2307681433748 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 307681433748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442448173440).

307681433748 is an abundant number, since it is smaller than the sum of its proper divisors (577214913132).

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

307681433748 is a wasteful number, since it uses less digits than its factorization.

307681433748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482446 (or 482441 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 307681433748 in words is "three hundred seven billion, six hundred eighty-one million, four hundred thirty-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 47 52 58 78 87 94 116 117 141 156 174 188 234 261 282 348 377 423 468 522 564 611 754 846 1044 1131 1222 1363 1508 1692 1833 2262 2444 2726 3393 3666 4089 4524 5452 5499 6786 7332 8178 10998 12267 13572 16356 17719 21996 24534 35438 49068 53157 70876 106314 159471 212628 318942 482347 637884 964694 1447041 1929388 2894082 4341123 5788164 6270511 8682246 12541022 13988063 17364492 18811533 22670309 25082044 27976126 37623066 41964189 45340618 55952252 56434599 68010927 75246132 83928378 90681236 112869198 125892567 136021854 167856756 181844819 204032781 225738396 251785134 272043708 294714017 363689638 408065562 503570268 545534457 589428034 657438961 727379276 816131124 884142051 1091068914 1178856068 1314877922 1636603371 1768284102 1972316883 2182137828 2629755844 2652426153 3273206742 3536568204 3944633766 5304852306 5916950649 6546413484 7889267532 8546706493 10609704612 11833901298 17093412986 23667802596 25640119479 34186825972 51280238958 76920358437 102560477916 153840716874 307681433748