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9306485328 = 243727575227
BaseRepresentation
bin10001010101011010…
…11011001001010000
3220000120210102211210
420222231123021100
5123024430012303
64135250140120
7446423551200
oct105255331120
926016712753
109306485328
113a462a5198
121978881640
13b5410bc6a
14643dd6400
1539706c203
hex22ab5b250

9306485328 has 120 divisors (see below), whose sum is σ = 28009240032. Its totient is φ = 2654975232.

The previous prime is 9306485311. The next prime is 9306485333. The reversal of 9306485328 is 8235846039.

It is a super-2 number, since 2×93064853282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1777851 + ... + 1783077.

Almost surely, 29306485328 is an apocalyptic number.

9306485328 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9306485328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004620016).

9306485328 is an abundant number, since it is smaller than the sum of its proper divisors (18702754704).

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

9306485328 is a wasteful number, since it uses less digits than its factorization.

9306485328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 9306485328 is about 96470.1266092255. The cubic root of 9306485328 is about 2103.4324311100.

The spelling of 9306485328 in words is "nine billion, three hundred six million, four hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 757 784 1176 1514 2271 2352 3028 4542 5227 5299 6056 9084 10454 10598 12112 15681 15897 18168 20908 21196 31362 31794 36336 36589 37093 41816 42392 62724 63588 73178 74186 83632 84784 109767 111279 125448 127176 146356 148372 219534 222558 250896 254352 256123 292712 296744 439068 445116 512246 585424 593488 768369 878136 890232 1024492 1536738 1756272 1780464 2048984 3073476 3956839 4097968 6146952 7913678 11870517 12293904 15827356 23741034 27697873 31654712 47482068 55395746 63309424 83093619 94964136 110791492 166187238 189928272 193885111 221582984 332374476 387770222 443165968 581655333 664748952 775540444 1163310666 1329497904 1551080888 2326621332 3102161776 4653242664 9306485328