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307423920 = 243517151499
BaseRepresentation
bin10010010100101…
…110101010110000
3210102110202100010
4102110232222300
51112200031140
650301054520
710422026436
oct2224565260
9712422303
10307423920
11148595161
1286b57440
134b8c9c5b
142cb86d56
151bec8880
hex1252eab0

307423920 has 160 divisors (see below), whose sum is σ = 1017792000. Its totient is φ = 76492800.

The previous prime is 307423877. The next prime is 307423969. The reversal of 307423920 is 29324703.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615831 + ... + 616329.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2307423920 is an apocalyptic number.

307423920 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 307423920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896000).

307423920 is an abundant number, since it is smaller than the sum of its proper divisors (710368080).

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

307423920 is a wasteful number, since it uses less digits than its factorization.

307423920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 307423920 is about 17533.5084908868. The cubic root of 307423920 is about 674.9100346490.

The spelling of 307423920 in words is "three hundred seven million, four hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 151 170 204 240 255 272 302 340 408 453 499 510 604 680 755 816 906 998 1020 1208 1360 1497 1510 1812 1996 2040 2265 2416 2495 2567 2994 3020 3624 3992 4080 4530 4990 5134 5988 6040 7248 7485 7701 7984 8483 9060 9980 10268 11976 12080 12835 14970 15402 16966 18120 19960 20536 23952 25449 25670 29940 30804 33932 36240 38505 39920 41072 42415 50898 51340 59880 61608 67864 75349 77010 84830 101796 102680 119760 123216 127245 135728 150698 154020 169660 203592 205360 226047 254490 301396 308040 339320 376745 407184 452094 508980 602792 616080 678640 753490 904188 1017960 1130235 1205584 1280933 1506980 1808376 2035920 2260470 2561866 3013960 3616752 3842799 4520940 5123732 6027920 6404665 7685598 9041880 10247464 12809330 15371196 18083760 19213995 20494928 25618660 30742392 38427990 51237320 61484784 76855980 102474640 153711960 307423920