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2324002240 = 26571377573
BaseRepresentation
bin1000101010000101…
…0111010111000000
312222222000112202001
42022201113113000
514224421032430
61022335233344
7111406456510
oct21241272700
95888015661
102324002240
11a9292530a
1254a378854
132b062a171
14180919840
15d90633ca
hex8a8575c0

2324002240 has 112 divisors (see below), whose sum is σ = 6371612352. Its totient is φ = 790880256.

The previous prime is 2324002207. The next prime is 2324002273. The reversal of 2324002240 is 422004232.

It is an interprime number because it is at equal distance from previous prime (2324002207) and next prime (2324002273).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303094 + ... + 310666.

It is an arithmetic number, because the mean of its divisors is an integer number (56889396).

Almost surely, 22324002240 is an apocalyptic number.

2324002240 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 2324002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185806176).

2324002240 is an abundant number, since it is smaller than the sum of its proper divisors (4047610112).

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

2324002240 is a wasteful number, since it uses less digits than its factorization.

2324002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7724 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2324002240 is about 48207.9064054850. The cubic root of 2324002240 is about 1324.5819951164.

Adding to 2324002240 its reverse (422004232), we get a palindrome (2746006472).

The spelling of 2324002240 in words is "two billion, three hundred twenty-four million, two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 137 140 160 224 274 280 320 448 548 560 685 959 1096 1120 1370 1918 2192 2240 2740 3836 4384 4795 5480 7573 7672 8768 9590 10960 15146 15344 19180 21920 30292 30688 37865 38360 43840 53011 60584 61376 75730 76720 106022 121168 151460 153440 212044 242336 265055 302920 306880 424088 484672 530110 605840 848176 1037501 1060220 1211680 1696352 2075002 2120440 2423360 3392704 4150004 4240880 5187505 7262507 8300008 8481760 10375010 14525014 16600016 16963520 20750020 29050028 33200032 36312535 41500040 58100056 66400064 72625070 83000080 116200112 145250140 166000160 232400224 290500280 332000320 464800448 581000560 1162001120 2324002240