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4304311040 = 28512832621
BaseRepresentation
bin1000000001000111…
…01001001100000000
3102002222022122201102
410000203221030000
532303400423130
61551040153532
7211444016531
oct40043511400
912088278642
104304311040
111909742657
12a016088a8
1353799b813
142cb92a688
151a2d36645
hex1008e9300

4304311040 has 72 divisors (see below), whose sum is σ = 10322142768. Its totient is φ = 1719726080.

The previous prime is 4304311031. The next prime is 4304311049. The reversal of 4304311040 is 401134034.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4304311031) and next prime (4304311049).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4304311049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1640930 + ... + 1643550.

It is an arithmetic number, because the mean of its divisors is an integer number (143363094).

Almost surely, 24304311040 is an apocalyptic number.

4304311040 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 4304311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161071384).

4304311040 is an abundant number, since it is smaller than the sum of its proper divisors (6017831728).

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

4304311040 is a wasteful number, since it uses less digits than its factorization.

4304311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4304311040 is about 65607.2483800380. The cubic root of 4304311040 is about 1626.6765862813.

Adding to 4304311040 its reverse (401134034), we get a palindrome (4705445074).

The spelling of 4304311040 in words is "four billion, three hundred four million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1283 2566 2621 5132 5242 6415 10264 10484 12830 13105 20528 20968 25660 26210 41056 41936 51320 52420 82112 83872 102640 104840 164224 167744 205280 209680 328448 335488 410560 419360 670976 821120 838720 1642240 1677440 3354880 3362743 6725486 13450972 16813715 26901944 33627430 53803888 67254860 107607776 134509720 215215552 269019440 430431104 538038880 860862208 1076077760 2152155520 4304311040