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4323985000 = 23546114177
BaseRepresentation
bin1000000011011101…
…01100011001101000
3102011100100012022121
410001232230121220
532323420010000
61553022001024
7212103160156
oct40156543150
912140305277
104323985000
11191985aa25
12a08116174
1353ba9970a
142d03ac3d6
151a4920b1a
hex101bac668

4323985000 has 80 divisors (see below), whose sum is σ = 10297906740. Its totient is φ = 1701120000.

The previous prime is 4323984991. The next prime is 4323985049. The reversal of 4323985000 is 5893234.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 218507524 + 4105477476 = 14782^2 + 64074^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297912 + ... + 312088.

Almost surely, 24323985000 is an apocalyptic number.

4323985000 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 4323985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148953370).

4323985000 is an abundant number, since it is smaller than the sum of its proper divisors (5973921740).

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

4323985000 is a wasteful number, since it uses less digits than its factorization.

4323985000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14264 (or 14245 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 4323985000 is about 65757.0148349208. The cubic root of 4323985000 is about 1629.1512009689.

The spelling of 4323985000 in words is "four billion, three hundred twenty-three million, nine hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 625 1000 1220 1250 1525 2440 2500 3050 5000 6100 7625 12200 14177 15250 28354 30500 38125 56708 61000 70885 76250 113416 141770 152500 283540 305000 354425 567080 708850 864797 1417700 1729594 1772125 2835400 3459188 3544250 4323985 6918376 7088500 8647970 8860625 14177000 17295940 17721250 21619925 34591880 35442500 43239850 70885000 86479700 108099625 172959400 216199250 432398500 540498125 864797000 1080996250 2161992500 4323985000