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304014340 = 225773151197
BaseRepresentation
bin10010000111101…
…110010000000100
3210012001112021101
4102013232100010
51110311424330
650100025444
710351036120
oct2207562004
9705045241
10304014340
11146676523
1285992284
134aca5056
142c53a580
151ba534ca
hex121ee404

304014340 has 96 divisors (see below), whose sum is σ = 748306944. Its totient is φ = 101606400.

The previous prime is 304014331. The next prime is 304014367. The reversal of 304014340 is 43410403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543122 + ... + 1543318.

It is an arithmetic number, because the mean of its divisors is an integer number (7794864).

Almost surely, 2304014340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374153472).

304014340 is an abundant number, since it is smaller than the sum of its proper divisors (444292604).

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

304014340 is a wasteful number, since it uses less digits than its factorization.

304014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 304014340 is about 17436.0069970163. The cubic root of 304014340 is about 672.4056537215.

Adding to 304014340 its reverse (43410403), we get a palindrome (347424743).

The spelling of 304014340 in words is "three hundred four million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 151 197 292 302 365 394 511 604 730 755 788 985 1022 1057 1379 1460 1510 1970 2044 2114 2555 2758 3020 3940 4228 5110 5285 5516 6895 10220 10570 11023 13790 14381 21140 22046 27580 28762 29747 44092 55115 57524 59494 71905 77161 100667 110230 118988 143810 148735 154322 201334 208229 220460 287620 297470 308644 385805 402668 416458 503335 594940 771610 832916 1006670 1041145 1543220 2013340 2082290 2171531 4164580 4343062 8686124 10857655 15200717 21715310 30401434 43430620 60802868 76003585 152007170 304014340