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30743414244 = 22361721912
BaseRepresentation
bin11100101000011100…
…110100010111100100
32221100120011021000000
4130220130310113210
51000430303223434
622042350021300
72135564465214
oct345034642744
987316137000
1030743414244
1112046946174
125b5baa7830
132b8c3c509a
1416b9084244
15bee024b99
hex7287345e4

30743414244 has 189 divisors, whose sum is σ = 86139632761. Its totient is φ = 9594495360.

The previous prime is 30743414183. The next prime is 30743414249. The reversal of 30743414244 is 44241434703.

The square root of 30743414244 is 175338.

It is a perfect power (a square), and thus also a powerful number.

30743414244 is a `hidden beast` number, since 3 + 0 + 74 + 341 + 4 + 244 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23935184100 + 6808230144 = 154710^2 + 82512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30743414199 and 30743414208.

It is not an unprimeable number, because it can be changed into a prime (30743414249) 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 62 ways as a sum of consecutive naturals, for example, 160960189 + ... + 160960379.

Almost surely, 230743414244 is an apocalyptic number.

30743414244 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

30743414244 is the 175338-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30743414244

30743414244 is an abundant number, since it is smaller than the sum of its proper divisors (55396218517).

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

30743414244 is an equidigital number, since it uses as much as digits as its factorization.

30743414244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Multiplying 30743414244 by its sum of digits (36), we get a square (1106762912784 = 10520282).

30743414244 divided by its sum of digits (36) gives a square (853983729 = 292232).

Adding to 30743414244 its reverse (44241434703), we get a palindrome (74984848947).

The spelling of 30743414244 in words is "thirty billion, seven hundred forty-three million, four hundred fourteen thousand, two hundred forty-four".