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4330041320 = 2351114966047
BaseRepresentation
bin1000000100001011…
…10010111111101000
3102011202201220000202
410002011302333220
532331442310240
61553355451332
7212205513113
oct40205627750
912152656022
104330041320
111922217150
12a0a156b48
1354010a237
142d110757a
151a521a315
hex102172fe8

4330041320 has 64 divisors (see below), whose sum is σ = 10699776000. Its totient is φ = 1563969280.

The previous prime is 4330041319. The next prime is 4330041337. The reversal of 4330041320 is 231400334.

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

It is a junction number, because it is equal to n+sod(n) for n = 4330041292 and 4330041301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32537 + ... + 98583.

It is an arithmetic number, because the mean of its divisors is an integer number (167184000).

Almost surely, 24330041320 is an apocalyptic number.

4330041320 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 4330041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349888000).

4330041320 is an abundant number, since it is smaller than the sum of its proper divisors (6369734680).

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

4330041320 is a wasteful number, since it uses less digits than its factorization.

4330041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66218 (or 66214 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 4330041320 is about 65803.0494734097. The cubic root of 4330041320 is about 1629.9114609341.

Adding to 4330041320 its reverse (231400334), we get a palindrome (4561441654).

The spelling of 4330041320 in words is "four billion, three hundred thirty million, forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 149 220 298 440 596 745 1192 1490 1639 2980 3278 5960 6556 8195 13112 16390 32780 65560 66047 132094 264188 330235 528376 660470 726517 1320940 1453034 2641880 2906068 3632585 5812136 7265170 9841003 14530340 19682006 29060680 39364012 49205015 78728024 98410030 108251033 196820060 216502066 393640120 433004132 541255165 866008264 1082510330 2165020660 4330041320