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30010320 = 2432541681
BaseRepresentation
bin111001001111…
…0101111010000
32002110200102100
41302132233100
530140312240
62551120400
7513040434
oct162365720
962420370
1030010320
1115a3821a
12a073100
1362a98b2
143db29c4
15297be30
hex1c9ebd0

30010320 has 60 divisors (see below), whose sum is σ = 100787076. Its totient is φ = 8002560.

The previous prime is 30010307. The next prime is 30010327. The reversal of 30010320 is 2301003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18558864 + 11451456 = 4308^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30010327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20121 + ... + 21560.

Almost surely, 230010320 is an apocalyptic number.

30010320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30010320 is an abundant number, since it is smaller than the sum of its proper divisors (70776756).

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

30010320 is a wasteful number, since it uses less digits than its factorization.

30010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41700 (or 41691 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 30010320 is about 5478.1675768454. The cubic root of 30010320 is about 310.7588761100.

Adding to 30010320 its reverse (2301003), we get a palindrome (32311323).

The spelling of 30010320 in words is "thirty million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 41681 83362 125043 166724 208405 250086 333448 375129 416810 500172 625215 666896 750258 833620 1000344 1250430 1500516 1667240 1875645 2000688 2500860 3001032 3334480 3751290 5001720 6002064 7502580 10003440 15005160 30010320