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234004636000 = 255379740521
BaseRepresentation
bin1101100111101111000…
…0110110000101100000
3211101000012000011201101
43121323300312011200
512313220141323000
6255300015244144
722622565405322
oct3317360660540
9741005004641
10234004636000
1190271575563
1239427819654
13190b3269b75
14b47c329612
15614893be6a
hex367bc36160

234004636000 has 96 divisors (see below), whose sum is σ = 582228017280. Its totient is φ = 92416896000.

The previous prime is 234004635973. The next prime is 234004636001. The reversal of 234004636000 is 636400432.

234004636000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 234004636000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234004636001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54261 + ... + 686260.

It is an arithmetic number, because the mean of its divisors is an integer number (6064875180).

Almost surely, 2234004636000 is an apocalyptic number.

234004636000 is a gapful number since it is divisible by the number (20) 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 234004636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291114008640).

234004636000 is an abundant number, since it is smaller than the sum of its proper divisors (348223381280).

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

234004636000 is an equidigital number, since it uses as much as digits as its factorization.

234004636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740625 (or 740607 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The spelling of 234004636000 in words is "two hundred thirty-four billion, four million, six hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 158 160 200 250 316 395 400 500 632 790 800 1000 1264 1580 1975 2000 2528 3160 3950 4000 6320 7900 9875 12640 15800 19750 31600 39500 63200 79000 158000 316000 740521 1481042 2962084 3702605 5924168 7405210 11848336 14810420 18513025 23696672 29620840 37026050 58501159 59241680 74052100 92565125 117002318 118483360 148104200 185130250 234004636 292505795 296208400 370260500 468009272 585011590 592416800 740521000 936018544 1170023180 1462528975 1481042000 1872037088 2340046360 2925057950 2962084000 4680092720 5850115900 7312644875 9360185440 11700231800 14625289750 23400463600 29250579500 46800927200 58501159000 117002318000 234004636000