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307940940 = 22345433439
BaseRepresentation
bin10010010110101…
…100111001001100
3210110110000120000
4102112230321030
51112313102230
650320124300
710426311666
oct2226547114
9713400500
10307940940
1114890864a
1287166690
134ba4b398
142cc7d536
151c07bb60
hex125ace4c

307940940 has 120 divisors (see below), whose sum is σ = 970458720. Its totient is φ = 81741312.

The previous prime is 307940929. The next prime is 307940947. The reversal of 307940940 is 49049703.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 307940895 and 307940904.

It is not an unprimeable number, because it can be changed into a prime (307940947) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 701241 + ... + 701679.

It is an arithmetic number, because the mean of its divisors is an integer number (8087156).

Almost surely, 2307940940 is an apocalyptic number.

307940940 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 307940940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485229360).

307940940 is an abundant number, since it is smaller than the sum of its proper divisors (662517780).

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

307940940 is a wasteful number, since it uses less digits than its factorization.

307940940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 307940940 is about 17548.2460662027. The cubic root of 307940940 is about 675.2881732509.

The spelling of 307940940 in words is "three hundred seven million, nine hundred forty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 433 439 540 810 866 878 1299 1317 1620 1732 1756 2165 2195 2598 2634 3897 3951 4330 4390 5196 5268 6495 6585 7794 7902 8660 8780 11691 11853 12990 13170 15588 15804 19485 19755 23382 23706 25980 26340 35073 35559 38970 39510 46764 47412 58455 59265 70146 71118 77940 79020 116910 118530 140292 142236 175365 177795 190087 233820 237060 350730 355590 380174 570261 701460 711180 760348 950435 1140522 1710783 1900870 2281044 2851305 3421566 3801740 5132349 5702610 6843132 8553915 10264698 11405220 15397047 17107830 20529396 25661745 30794094 34215660 51323490 61588188 76985235 102646980 153970470 307940940