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307713042 = 232721347571
BaseRepresentation
bin10010010101110…
…101010000010010
3210110000102221100
4102111311100102
51112233304132
650311205230
710424342400
oct2225652022
9713012840
10307713042
111487723aa
1287076816
134b99b730
142cc20470
151c03437c
hex12575412

307713042 has 144 divisors (see below), whose sum is σ = 854485632. Its totient is φ = 79289280.

The previous prime is 307713023. The next prime is 307713047. The reversal of 307713042 is 240317703.

It is a junction number, because it is equal to n+sod(n) for n = 307712997 and 307713015.

It is not an unprimeable number, because it can be changed into a prime (307713047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 538617 + ... + 539187.

It is an arithmetic number, because the mean of its divisors is an integer number (5933928).

Almost surely, 2307713042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307713042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427242816).

307713042 is an abundant number, since it is smaller than the sum of its proper divisors (546772590).

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

307713042 is a wasteful number, since it uses less digits than its factorization.

307713042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 307713042 is about 17541.7513948864. The cubic root of 307713042 is about 675.1215451906.

The spelling of 307713042 in words is "three hundred seven million, seven hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 47 49 63 78 91 94 98 117 126 141 147 182 234 273 282 294 329 423 441 546 571 611 637 658 819 846 882 987 1142 1222 1274 1638 1713 1833 1911 1974 2303 2961 3426 3666 3822 3997 4277 4606 5139 5499 5733 5922 6909 7423 7994 8554 10278 10998 11466 11991 12831 13818 14846 20727 22269 23982 25662 26837 27979 29939 35973 38493 41454 44538 51961 53674 55958 59878 66807 71946 76986 80511 83937 89817 103922 133614 155883 161022 167874 179634 187859 241533 251811 269451 311766 348881 363727 375718 467649 483066 503622 538902 563577 697762 727454 935298 1046643 1091181 1127154 1315013 1690731 2093286 2182362 2442167 2630026 3139929 3273543 3381462 3945039 4884334 6279858 6547086 7326501 7890078 11835117 14653002 17095169 21979503 23670234 34190338 43959006 51285507 102571014 153856521 307713042