Search a number
-
+
304072120 = 235112572689
BaseRepresentation
bin10010000111111…
…100010110111000
3210012011110112101
4102013330112320
51110320301440
650101153144
710351366432
oct2207742670
9705143471
10304072120
11146705980
12859bb7b4
134acc5441
142c553652
151ba6569a
hex121fc5b8

304072120 has 64 divisors (see below), whose sum is σ = 749541600. Its totient is φ = 110100480.

The previous prime is 304072117. The next prime is 304072127. The reversal of 304072120 is 21270403.

It is a super-2 number, since 2×3040721202 = 184919708322588800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304072127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111736 + ... + 114424.

Almost surely, 2304072120 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 304072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374770800).

304072120 is an abundant number, since it is smaller than the sum of its proper divisors (445469480).

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

304072120 is a wasteful number, since it uses less digits than its factorization.

304072120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 304072120 is about 17437.6638343558. The cubic root of 304072120 is about 672.4482494508.

The spelling of 304072120 in words is "three hundred four million, seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 257 440 514 1028 1285 2056 2570 2689 2827 5140 5378 5654 10280 10756 11308 13445 14135 21512 22616 26890 28270 29579 53780 56540 59158 107560 113080 118316 147895 236632 295790 591580 691073 1183160 1382146 2764292 3455365 5528584 6910730 7601803 13821460 15203606 27642920 30407212 38009015 60814424 76018030 152036060 304072120