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4300040000 = 2654193557
BaseRepresentation
bin1000000000100110…
…10110011101000000
3102002200021122221202
410000103112131000
532301302240000
61550404440332
7211362510524
oct40023263500
912080248852
104300040000
111907295773
12a000a90a8
13536b34789
142cb137d84
151a2790dd5
hex1004d6740

4300040000 has 140 divisors (see below), whose sum is σ = 10737191124. Its totient is φ = 1708032000.

The previous prime is 4300039979. The next prime is 4300040009. The reversal of 4300040000 is 400034.

It can be written as a sum of positive squares in 10 ways, for example, as 4234365184 + 65674816 = 65072^2 + 8104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4300040009) 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 19 ways as a sum of consecutive naturals, for example, 7719722 + ... + 7720278.

Almost surely, 24300040000 is an apocalyptic number.

4300040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4300040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368595562).

4300040000 is an abundant number, since it is smaller than the sum of its proper divisors (6437151124).

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

4300040000 is an equidigital number, since it uses as much as digits as its factorization.

4300040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 4300040000 is about 65574.6902394514. The cubic root of 4300040000 is about 1626.1383739374.

Adding to 4300040000 its reverse (400034), we get a palindrome (4300440034).

The spelling of 4300040000 in words is "four billion, three hundred million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 193 200 250 320 386 400 500 557 625 772 800 965 1000 1114 1250 1544 1600 1930 2000 2228 2500 2785 3088 3860 4000 4456 4825 5000 5570 6176 7720 8000 8912 9650 10000 11140 12352 13925 15440 17824 19300 20000 22280 24125 27850 30880 35648 38600 40000 44560 48250 55700 61760 69625 77200 89120 96500 107501 111400 120625 139250 154400 178240 193000 215002 222800 241250 278500 308800 348125 386000 430004 445600 482500 537505 557000 696250 772000 860008 891200 965000 1075010 1114000 1392500 1544000 1720016 1930000 2150020 2228000 2687525 2785000 3440032 3860000 4300040 4456000 5375050 5570000 6880064 7720000 8600080 10750100 11140000 13437625 17200160 21500200 22280000 26875250 34400320 43000400 53750500 67188125 86000800 107501000 134376250 172001600 215002000 268752500 430004000 537505000 860008000 1075010000 2150020000 4300040000