[go: up one dir, main page]

Search a number
-
+
30071104 = 267243223
BaseRepresentation
bin111001010110…
…1100101000000
32002120202210121
41302231211000
530144233404
62552310024
7513412600
oct162554500
962522717
1030071104
1115a79958
12a0a2314
1362cb46b
143dcac00
15298ee54
hex1cad940

30071104 has 84 divisors (see below), whose sum is σ = 71347584. Its totient is φ = 12531456.

The previous prime is 30071101. The next prime is 30071123. The reversal of 30071104 is 40117003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30071101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134737 + ... + 134959.

It is an arithmetic number, because the mean of its divisors is an integer number (849376).

Almost surely, 230071104 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 30071104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35673792).

30071104 is an abundant number, since it is smaller than the sum of its proper divisors (41276480).

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

30071104 is a wasteful number, since it uses less digits than its factorization.

30071104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 30071104 is about 5483.7126109963. The cubic root of 30071104 is about 310.9685420840.

Adding to 30071104 its reverse (40117003), we get a palindrome (70188107).

The spelling of 30071104 in words is "thirty million, seventy-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 64 86 98 112 172 196 223 224 301 344 392 446 448 602 688 784 892 1204 1376 1561 1568 1784 2107 2408 2752 3122 3136 3568 4214 4816 6244 7136 8428 9589 9632 10927 12488 14272 16856 19178 19264 21854 24976 33712 38356 43708 49952 67123 67424 76712 87416 99904 134246 134848 153424 174832 268492 306848 349664 469861 536984 613696 699328 939722 1073968 1879444 2147936 3758888 4295872 7517776 15035552 30071104