Search a number
-
+
30240411030 = 23253117836079
BaseRepresentation
bin11100001010011110…
…000000110110010110
32220001111200001022100
4130022132000312112
5443413021123110
621520420542530
72120246152434
oct341236006626
986044601270
1030240411030
1111908a18435
125a3b551a46
132b0c12b04b
14166c349d54
15bbecb6bc0
hex70a780d96

30240411030 has 96 divisors (see below), whose sum is σ = 81220239360. Its totient is φ = 7798317120.

The previous prime is 30240411013. The next prime is 30240411037. The reversal of 30240411030 is 3011404203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30240410994 and 30240411012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30240411037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4971531 + ... + 4977609.

It is an arithmetic number, because the mean of its divisors is an integer number (846044160).

Almost surely, 230240411030 is an apocalyptic number.

30240411030 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 30240411030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40610119680).

30240411030 is an abundant number, since it is smaller than the sum of its proper divisors (50979828330).

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

30240411030 is a wasteful number, since it uses less digits than its factorization.

30240411030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7906 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30240411030 its reverse (3011404203), we get a palindrome (33251815233).

The spelling of 30240411030 in words is "thirty billion, two hundred forty million, four hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 1783 2790 3566 5349 6079 8915 10698 12158 16047 17830 18237 26745 30395 32094 36474 53490 54711 55273 60790 80235 91185 109422 110546 160470 165819 182370 188449 273555 276365 331638 376898 497457 547110 552730 565347 829095 942245 994914 1130694 1658190 1696041 1884490 2487285 2826735 3392082 4974570 5653470 8480205 10838857 16960410 21677714 32516571 54194285 65033142 97549713 108388570 162582855 195099426 325165710 336004567 487748565 672009134 975497130 1008013701 1680022835 2016027402 3024041103 3360045670 5040068505 6048082206 10080137010 15120205515 30240411030