Search a number
-
+
30358030320 = 2432542163931
BaseRepresentation
bin11100010001011110…
…101100011111110000
32220100200222201122100
4130101132230133300
5444133123432240
621540221540400
72123205000012
oct342136543760
986320881570
1030358030320
1111969353562
125a72a14700
132b2a600467
14167dc061b2
15bca29be30
hex7117ac7f0

30358030320 has 60 divisors (see below), whose sum is σ = 101952387576. Its totient is φ = 8095474560.

The previous prime is 30358030319. The next prime is 30358030321. The reversal of 30358030320 is 2303085303.

It is a happy number.

30358030320 is a `hidden beast` number, since 3 + 0 + 358 + 0 + 303 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30358030319) and next prime (30358030321).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×303580303202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30358030321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21081246 + ... + 21082685.

Almost surely, 230358030320 is an apocalyptic number.

30358030320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30358030320 is an abundant number, since it is smaller than the sum of its proper divisors (71594357256).

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

30358030320 is a wasteful number, since it uses less digits than its factorization.

30358030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42163950 (or 42163941 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 30358030320 in words is "thirty billion, three hundred fifty-eight million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 42163931 84327862 126491793 168655724 210819655 252983586 337311448 379475379 421639310 505967172 632458965 674622896 758950758 843278620 1011934344 1264917930 1517901516 1686557240 1897376895 2023868688 2529835860 3035803032 3373114480 3794753790 5059671720 6071606064 7589507580 10119343440 15179015160 30358030320