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30213340432 = 2411432227409
BaseRepresentation
bin11100001000110110…
…101111110100010000
32212222121201201102121
4130020312233310100
5443334103343212
621514012424024
72116500104422
oct341066576420
985877651377
1030213340432
11118a4708940
125a32478014
132b06640542
141668900812
15bbc71ad07
hex708dafd10

30213340432 has 120 divisors (see below), whose sum is σ = 65828242080. Its totient is φ = 13322211840.

The previous prime is 30213340427. The next prime is 30213340433. The reversal of 30213340432 is 23404331203.

It is a junction number, because it is equal to n+sod(n) for n = 30213340397 and 30213340406.

It is not an unprimeable number, because it can be changed into a prime (30213340433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73871044 + ... + 73871452.

It is an arithmetic number, because the mean of its divisors is an integer number (548568684).

Almost surely, 230213340432 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 30213340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32914121040).

30213340432 is an abundant number, since it is smaller than the sum of its proper divisors (35614901648).

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

30213340432 is a wasteful number, since it uses less digits than its factorization.

30213340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 30213340432 its reverse (23404331203), we get a palindrome (53617671635).

The spelling of 30213340432 in words is "thirty billion, two hundred thirteen million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 227 344 409 454 473 688 818 908 946 1636 1816 1849 1892 2497 3272 3632 3698 3784 4499 4994 6544 7396 7568 8998 9761 9988 14792 17587 17996 19522 19976 20339 29584 35174 35992 39044 39952 40678 70348 71984 78088 81356 92843 107371 140696 156176 162712 185686 193457 214742 281392 325424 371372 386914 419723 429484 742744 756241 773828 839446 858968 1021273 1485488 1512482 1547656 1678892 1717936 2042546 3024964 3095312 3357784 3992249 4085092 4616953 6049928 6715568 7984498 8170184 8318651 9233906 12099856 15968996 16340368 16637302 18467812 31937992 33274604 36935624 43914739 63875984 66549208 73871248 87829478 133098416 171666707 175658956 343333414 351317912 686666828 702635824 1373333656 1888333777 2746667312 3776667554 7553335108 15106670216 30213340432