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3143022240 = 253521131033
BaseRepresentation
bin1011101101010110…
…1011011010100000
322010001011001222010
42323111223122200
522414103202430
61235513512520
7140613151101
oct27325533240
98101131863
103143022240
111373177146
12738712740
133b120c397
1421b5d63a8
15135de5cb0
hexbb56b6a0

3143022240 has 96 divisors (see below), whose sum is σ = 9947762496. Its totient is φ = 834140160.

The previous prime is 3143022229. The next prime is 3143022257. The reversal of 3143022240 is 422203413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31430222402 = 19757177602269235200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85764 + ... + 116796.

It is an arithmetic number, because the mean of its divisors is an integer number (103622526).

Almost surely, 23143022240 is an apocalyptic number.

3143022240 is a gapful number since it is divisible by the number (30) 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 3143022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973881248).

3143022240 is an abundant number, since it is smaller than the sum of its proper divisors (6804740256).

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

3143022240 is a wasteful number, since it uses less digits than its factorization.

3143022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31262 (or 31254 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3143022240 is about 56062.6635114672. The cubic root of 3143022240 is about 1464.8140087784.

Adding to 3143022240 its reverse (422203413), we get a palindrome (3565225653).

The spelling of 3143022240 in words is "three billion, one hundred forty-three million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 211 240 422 480 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 16880 20256 25320 31033 33760 50640 62066 93099 101280 124132 155165 186198 248264 310330 372396 465495 496528 620660 744792 930990 993056 1241320 1489584 1861980 2482640 2979168 3723960 4965280 6547963 7447920 13095926 14895840 19643889 26191852 32739815 39287778 52383704 65479630 78575556 98219445 104767408 130959260 157151112 196438890 209534816 261918520 314302224 392877780 523837040 628604448 785755560 1047674080 1571511120 3143022240