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3000414030 = 235412818681
BaseRepresentation
bin1011001011010110…
…1010111101001110
321202002210211021120
42302311222331032
522121101222110
61213421141410
7134232045525
oct26265527516
97662724246
103000414030
1112aa723519
126b89ba866
1338a7cab23
142066b34bc
15128626870
hexb2d6af4e

3000414030 has 64 divisors (see below), whose sum is σ = 7403731776. Its totient is φ = 777728000.

The previous prime is 3000414023. The next prime is 3000414073. The reversal of 3000414030 is 304140003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341290 + ... + 349970.

It is an arithmetic number, because the mean of its divisors is an integer number (115683309).

Almost surely, 23000414030 is an apocalyptic number.

3000414030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000414030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701865888).

3000414030 is an abundant number, since it is smaller than the sum of its proper divisors (4403317746).

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

3000414030 is a wasteful number, since it uses less digits than its factorization.

3000414030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013.

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

The square root of 3000414030 is about 54776.0351796294. The cubic root of 3000414030 is about 1442.3159155431.

Adding to 3000414030 its reverse (304140003), we get a palindrome (3304554033).

The spelling of 3000414030 in words is "three billion, four hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 281 410 562 615 843 1230 1405 1686 2810 4215 8430 8681 11521 17362 23042 26043 34563 43405 52086 57605 69126 86810 115210 130215 172815 260430 345630 355921 711842 1067763 1779605 2135526 2439361 3559210 4878722 5338815 7318083 10677630 12196805 14636166 24393610 36590415 73180830 100013801 200027602 300041403 500069005 600082806 1000138010 1500207015 3000414030