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304109120 = 26571271069
BaseRepresentation
bin10010001000000…
…101011001000000
3210012020100021202
4102020011121000
51110322442440
650102040332
710351612340
oct2210053100
9705210252
10304109120
11146730757
1285a190a8
134b009233
142c562d20
151ba71615
hex12205640

304109120 has 112 divisors (see below), whose sum is σ = 834908160. Its totient is φ = 103348224.

The previous prime is 304109119. The next prime is 304109131. The reversal of 304109120 is 21901403.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 304109092 and 304109101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283946 + ... + 285014.

Almost surely, 2304109120 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 304109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417454080).

304109120 is an abundant number, since it is smaller than the sum of its proper divisors (530799040).

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

304109120 is a wasteful number, since it uses less digits than its factorization.

304109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 304109120 is about 17438.7247240158. The cubic root of 304109120 is about 672.4755232174.

The spelling of 304109120 in words is "three hundred four million, one hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 140 160 224 254 280 320 448 508 560 635 889 1016 1069 1120 1270 1778 2032 2138 2240 2540 3556 4064 4276 4445 5080 5345 7112 7483 8128 8552 8890 10160 10690 14224 14966 17104 17780 20320 21380 28448 29932 34208 35560 37415 40640 42760 56896 59864 68416 71120 74830 85520 119728 135763 142240 149660 171040 239456 271526 284480 299320 342080 478912 543052 598640 678815 950341 1086104 1197280 1357630 1900682 2172208 2394560 2715260 3801364 4344416 4751705 5430520 7602728 8688832 9503410 10861040 15205456 19006820 21722080 30410912 38013640 43444160 60821824 76027280 152054560 304109120