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309463080 = 233531412029
BaseRepresentation
bin10010011100100…
…000100000101000
3210120022100112120
4102130200200220
51113210304310
650412511240
710445251503
oct2234404050
9716270476
10309463080
11149758213
128777b520
134c162164
142d15813a
151c27cb70
hex12720828

309463080 has 128 divisors (see below), whose sum is σ = 982195200. Its totient is φ = 77875200.

The previous prime is 309463069. The next prime is 309463081. The reversal of 309463080 is 80364903.

309463080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (309463081) 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, 151506 + ... + 153534.

It is an arithmetic number, because the mean of its divisors is an integer number (7673400).

Almost surely, 2309463080 is an apocalyptic number.

309463080 is a gapful number since it is divisible by the number (30) 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 309463080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491097600).

309463080 is an abundant number, since it is smaller than the sum of its proper divisors (672732120).

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

309463080 is a wasteful number, since it uses less digits than its factorization.

309463080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 309463080 is about 17591.5627503642. The cubic root of 309463080 is about 676.3989860149.

The spelling of 309463080 in words is "three hundred nine million, four hundred sixty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 41 60 62 82 93 120 123 124 155 164 186 205 246 248 310 328 372 410 465 492 615 620 744 820 930 984 1230 1240 1271 1640 1860 2029 2460 2542 3720 3813 4058 4920 5084 6087 6355 7626 8116 10145 10168 12174 12710 15252 16232 19065 20290 24348 25420 30435 30504 38130 40580 48696 50840 60870 62899 76260 81160 83189 121740 125798 152520 166378 188697 243480 249567 251596 314495 332756 377394 415945 499134 503192 628990 665512 754788 831890 943485 998268 1247835 1257980 1509576 1663780 1886970 1996536 2495670 2515960 2578859 3327560 3773940 4991340 5157718 7547880 7736577 9982680 10315436 12894295 15473154 20630872 25788590 30946308 38682885 51577180 61892616 77365770 103154360 154731540 309463080