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4344000030 = 234515734159
BaseRepresentation
bin1000000101110110…
…00010111000011110
3102012202000001210000
410002323002320132
532344031000110
61555014555130
7212435251056
oct40273027036
912182001700
104344000030
11192a090577
12a12968aa6
13542c86926
142d2cdc566
151a65761c0
hex102ec2e1e

4344000030 has 80 divisors (see below), whose sum is σ = 11755275840. Its totient is φ = 1150987968.

The previous prime is 4344000013. The next prime is 4344000047. The reversal of 4344000030 is 300004434.

It is an interprime number because it is at equal distance from previous prime (4344000013) and next prime (4344000047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4343999967 and 4344000012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110091 + ... + 144249.

It is an arithmetic number, because the mean of its divisors is an integer number (146940948).

Almost surely, 24344000030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4344000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877637920).

4344000030 is an abundant number, since it is smaller than the sum of its proper divisors (7411275810).

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

4344000030 is a wasteful number, since it uses less digits than its factorization.

4344000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34335 (or 34326 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4344000030 is about 65909.0284407227. The cubic root of 4344000030 is about 1631.6610252404.

Adding to 4344000030 its reverse (300004434), we get a palindrome (4644004464).

The spelling of 4344000030 in words is "four billion, three hundred forty-four million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 157 162 270 314 405 471 785 810 942 1413 1570 2355 2826 4239 4710 7065 8478 12717 14130 21195 25434 34159 42390 63585 68318 102477 127170 170795 204954 307431 341590 512385 614862 922293 1024770 1537155 1844586 2766879 3074310 4611465 5362963 5533758 9222930 10725926 13834395 16088889 26814815 27668790 32177778 48266667 53629630 80444445 96533334 144800001 160888890 241333335 289600002 434400003 482666670 724000005 868800006 1448000010 2172000015 4344000030