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4323640000 = 2654195689
BaseRepresentation
bin1000000011011010…
…11000001011000000
3102011022200200001211
410001231120023000
532323322440000
61553010335504
7212100222301
oct40155301300
912138620054
104323640000
1119196447a9
12a07b8a594
1353b9a8684
142d031c7a8
151a48a37ba
hex101b582c0

4323640000 has 140 divisors (see below), whose sum is σ = 11287480600. Its totient is φ = 1638144000.

The previous prime is 4323639997. The next prime is 4323640003. The reversal of 4323640000 is 463234.

It is an interprime number because it is at equal distance from previous prime (4323639997) and next prime (4323640003).

It is not an unprimeable number, because it can be changed into a prime (4323640003) 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, 757156 + ... + 762844.

Almost surely, 24323640000 is an apocalyptic number.

4323640000 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 4323640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643740300).

4323640000 is an abundant number, since it is smaller than the sum of its proper divisors (6963840600).

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

4323640000 is an equidigital number, since it uses as much as digits as its factorization.

4323640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 4323640000 is about 65754.3914883257. The cubic root of 4323640000 is about 1629.1078711768.

The spelling of 4323640000 in words is "four billion, three hundred twenty-three million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 625 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2500 3040 3800 4000 4750 5000 5689 6080 7600 8000 9500 10000 11378 11875 15200 19000 20000 22756 23750 28445 30400 38000 40000 45512 47500 56890 76000 91024 95000 108091 113780 142225 152000 182048 190000 216182 227560 284450 364096 380000 432364 455120 540455 568900 711125 760000 864728 910240 1080910 1137800 1422250 1729456 1820480 2161820 2275600 2702275 2844500 3458912 3555625 4323640 4551200 5404550 5689000 6917824 7111250 8647280 9102400 10809100 11378000 13511375 14222500 17294560 21618200 22756000 27022750 28445000 34589120 43236400 45512000 54045500 56890000 67556875 86472800 108091000 113780000 135113750 172945600 216182000 227560000 270227500 432364000 540455000 864728000 1080910000 2161820000 4323640000