Search a number
-
+
30504205350 = 2325229280603
BaseRepresentation
bin11100011010001100…
…010011110000100110
32220201220001012002100
4130122030103300212
5444433034032400
622002522552530
72126631316203
oct343214236046
986656035070
1030504205350
1111a33912a73
125ab3968746
132b51990368
1416953b6caa
15bd8023100
hex71a313c26

30504205350 has 108 divisors (see below), whose sum is σ = 84879155556. Its totient is φ = 7853858880.

The previous prime is 30504205337. The next prime is 30504205387. The reversal of 30504205350 is 5350240503.

30504205350 is a `hidden beast` number, since 305 + 0 + 4 + 2 + 0 + 5 + 350 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 338149 + ... + 418751.

It is an arithmetic number, because the mean of its divisors is an integer number (785918107).

Almost surely, 230504205350 is an apocalyptic number.

30504205350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30504205350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42439577778).

30504205350 is an abundant number, since it is smaller than the sum of its proper divisors (54374950206).

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

30504205350 is a wasteful number, since it uses less digits than its factorization.

30504205350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80679 (or 80642 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

Adding to 30504205350 its reverse (5350240503), we get a palindrome (35854445853).

The spelling of 30504205350 in words is "thirty billion, five hundred four million, two hundred five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 841 870 1305 1450 1682 2175 2523 2610 4205 4350 5046 6525 7569 8410 12615 13050 15138 21025 25230 37845 42050 63075 75690 80603 126150 161206 189225 241809 378450 403015 483618 725427 806030 1209045 1450854 2015075 2337487 2418090 3627135 4030150 4674974 6045225 7012461 7254270 11687435 12090450 14024922 18135675 21037383 23374870 35062305 36271350 42074766 58437175 67787123 70124610 105186915 116874350 135574246 175311525 203361369 210373830 338935615 350623050 406722738 525934575 610084107 677871230 1016806845 1051869150 1220168214 1694678075 2033613690 3050420535 3389356150 5084034225 6100841070 10168068450 15252102675 30504205350