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307872630 = 233513239367
BaseRepresentation
bin10010010110011…
…100001101110110
3210110022112212000
4102112130031312
51112303411010
650314440130
710425605562
oct2226341566
9713275760
10307872630
1114887129a
1287133046
134ba26270
142cc626a2
151c0667c0
hex1259c376

307872630 has 128 divisors (see below), whose sum is σ = 890265600. Its totient is φ = 75261312.

The previous prime is 307872623. The next prime is 307872659. The reversal of 307872630 is 36278703.

307872630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 838707 + ... + 839073.

It is an arithmetic number, because the mean of its divisors is an integer number (6955200).

Almost surely, 2307872630 is an apocalyptic number.

307872630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 307872630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445132800).

307872630 is an abundant number, since it is smaller than the sum of its proper divisors (582392970).

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

307872630 is a wasteful number, since it uses less digits than its factorization.

307872630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 307872630 is about 17546.2996098893. The cubic root of 307872630 is about 675.2382368936.

The spelling of 307872630 in words is "three hundred seven million, eight hundred seventy-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 239 270 351 367 390 478 585 702 717 734 1101 1170 1195 1434 1755 1835 2151 2202 2390 3107 3303 3510 3585 3670 4302 4771 5505 6214 6453 6606 7170 9321 9542 9909 10755 11010 12906 14313 15535 16515 18642 19818 21510 23855 27963 28626 31070 32265 33030 42939 46605 47710 49545 55926 64530 71565 83889 85878 87713 93210 99090 128817 139815 143130 167778 175426 214695 257634 263139 279630 419445 429390 438565 526278 644085 789417 838890 877130 1140269 1288170 1315695 1578834 2280538 2368251 2631390 3420807 3947085 4736502 5701345 6841614 7894170 10262421 11402690 11841255 17104035 20524842 23682510 30787263 34208070 51312105 61574526 102624210 153936315 307872630