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4300244040 = 2335536131103
BaseRepresentation
bin1000000000101000…
…01000010001001000
3102002200200000211210
410000110020101020
532301330302130
61550413053120
7211364320431
oct40024102110
912080600753
104300244040
111907414aa4
12a001871a0
13536ba6601
142cb18c488
151a27d15b0
hex100508448

4300244040 has 128 divisors (see below), whose sum is σ = 13177520640. Its totient is φ = 1122241536.

The previous prime is 4300244029. The next prime is 4300244057. The reversal of 4300244040 is 404420034.

It is a junction number, because it is equal to n+sod(n) for n = 4300243998 and 4300244016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3898129 + ... + 3899231.

It is an arithmetic number, because the mean of its divisors is an integer number (102949380).

Almost surely, 24300244040 is an apocalyptic number.

4300244040 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 4300244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588760320).

4300244040 is an abundant number, since it is smaller than the sum of its proper divisors (8877276600).

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

4300244040 is a wasteful number, since it uses less digits than its factorization.

4300244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4300244040 is about 65576.2460041744. The cubic root of 4300244040 is about 1626.1640940103.

Adding to 4300244040 its reverse (404420034), we get a palindrome (4704664074).

The spelling of 4300244040 in words is "four billion, three hundred million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 613 636 795 1060 1103 1226 1272 1590 1839 2120 2206 2452 3065 3180 3309 3678 4412 4904 5515 6130 6360 6618 7356 8824 9195 11030 12260 13236 14712 16545 18390 22060 24520 26472 32489 33090 36780 44120 58459 64978 66180 73560 97467 116918 129956 132360 162445 175377 194934 233836 259912 292295 324890 350754 389868 467672 487335 584590 649780 676139 701508 779736 876885 974670 1169180 1299560 1352278 1403016 1753770 1949340 2028417 2338360 2704556 3380695 3507540 3898680 4056834 5409112 6761390 7015080 8113668 10142085 13522780 16227336 20284170 27045560 35835367 40568340 71670734 81136680 107506101 143341468 179176835 215012202 286682936 358353670 430024404 537530505 716707340 860048808 1075061010 1433414680 2150122020 4300244040