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309678096 = 243713312287
BaseRepresentation
bin10010011101010…
…101000000010000
3210120201021111010
4102131111000100
51113234144341
650421250520
710450135410
oct2235250020
9716637433
10309678096
11149894812
1287863a40
134c208ca0
142d1b2640
151c2c1716
hex12755010

309678096 has 160 divisors (see below), whose sum is σ = 1016823808. Its totient is φ = 79004160.

The previous prime is 309678091. The next prime is 309678113. The reversal of 309678096 is 690876903.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (309678091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134265 + ... + 136551.

Almost surely, 2309678096 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 309678096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508411904).

309678096 is an abundant number, since it is smaller than the sum of its proper divisors (707145712).

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

309678096 is a wasteful number, since it uses less digits than its factorization.

309678096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 309678096 is about 17597.6730279887. The cubic root of 309678096 is about 676.5556045191. Note that the first 3 decimals are identical.

The spelling of 309678096 in words is "three hundred nine million, six hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2287 2418 2604 2821 3224 3472 4368 4574 4836 5208 5642 6448 6861 8463 9148 9672 10416 11284 13722 16009 16926 18296 19344 22568 27444 29731 32018 33852 36592 45136 48027 54888 59462 64036 67704 70897 89193 96054 109776 118924 128072 135408 141794 178386 192108 208117 212691 237848 256144 283588 356772 384216 416234 425382 475696 496279 567176 624351 713544 768432 832468 850764 921661 992558 1134352 1248702 1427088 1488837 1664936 1701528 1843322 1985116 2497404 2764983 2977674 3329872 3403056 3686644 3970232 4994808 5529966 5955348 6451627 7373288 7940464 9989616 11059932 11910696 12903254 14746576 19354881 22119864 23821392 25806508 38709762 44239728 51613016 77419524 103226032 154839048 309678096