Search a number
-
+
305238040 = 23519401629
BaseRepresentation
bin10010001100011…
…001000000011000
3210021100200212121
4102030121000120
51111120104130
650142151024
710364323552
oct2214310030
9707320777
10305238040
11147331948
1286282474
134b313033
142c7784d2
151bbe5d7a
hex12319018

305238040 has 32 divisors (see below), whose sum is σ = 722934000. Its totient is φ = 115668864.

The previous prime is 305238019. The next prime is 305238113. The reversal of 305238040 is 40832503.

305238040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3052380402 = 186340522126083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305237996 and 305238014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200055 + ... + 201574.

Almost surely, 2305238040 is an apocalyptic number.

It is an amenable number.

305238040 is an abundant number, since it is smaller than the sum of its proper divisors (417695960).

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

305238040 is a wasteful number, since it uses less digits than its factorization.

305238040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401659 (or 401655 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 305238040 is about 17471.0629327468. The cubic root of 305238040 is about 673.3066213847.

The spelling of 305238040 in words is "three hundred five million, two hundred thirty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 401629 803258 1606516 2008145 3213032 4016290 7630951 8032580 15261902 16065160 30523804 38154755 61047608 76309510 152619020 305238040