Search a number
-
+
30100434 = 23713291901
BaseRepresentation
bin111001011010…
…0101111010010
32002122021000220
41302310233102
530201203214
62553053510
7513564240
oct162645722
962567026
1030100434
1115a999a1
12a0b7296
13630b910
143dd7790
1529989a9
hex1cb4bd2

30100434 has 64 divisors (see below), whose sum is σ = 76688640. Its totient is φ = 7660800.

The previous prime is 30100417. The next prime is 30100453. The reversal of 30100434 is 43400103.

30100434 = T196 + T197 + ... + T572.

It is a super-2 number, since 2×301004342 = 1812072253976712, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14884 + ... + 16784.

It is an arithmetic number, because the mean of its divisors is an integer number (1198260).

Almost surely, 230100434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30100434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38344320).

30100434 is an abundant number, since it is smaller than the sum of its proper divisors (46588206).

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

30100434 is a wasteful number, since it uses less digits than its factorization.

30100434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30100434 is about 5486.3862423275. The cubic root of 30100434 is about 311.0696108003.

Adding to 30100434 its reverse (43400103), we get a palindrome (73500537).

The spelling of 30100434 in words is "thirty million, one hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 174 182 203 273 377 406 546 609 754 1131 1218 1901 2262 2639 3802 5278 5703 7917 11406 13307 15834 24713 26614 39921 49426 55129 74139 79842 110258 148278 165387 172991 330774 345982 385903 518973 716677 771806 1037946 1157709 1433354 2150031 2315418 4300062 5016739 10033478 15050217 30100434