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3242440288 = 251931172031
BaseRepresentation
bin1100000101000011…
…1011011001100000
322100222020000220001
43001100323121200
523120031042123
61253424425344
7143231200453
oct30120733140
98328200801
103242440288
11141430041a
12765a78254
133c89ab029
1422a8b549a
1513e9d30ad
hexc143b660

3242440288 has 48 divisors (see below), whose sum is σ = 6936330240. Its totient is φ = 1486339200.

The previous prime is 3242440219. The next prime is 3242440301. The reversal of 3242440288 is 8820442423.

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 7 ways as a sum of consecutive naturals, for example, 67168 + ... + 104863.

It is an arithmetic number, because the mean of its divisors is an integer number (144506880).

Almost surely, 23242440288 is an apocalyptic number.

3242440288 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3242440288 is an abundant number, since it is smaller than the sum of its proper divisors (3693889952).

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

3242440288 is a wasteful number, since it uses less digits than its factorization.

3242440288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172091 (or 172083 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The square root of 3242440288 is about 56942.4295934060. The cubic root of 3242440288 is about 1480.0986493776.

The spelling of 3242440288 in words is "three billion, two hundred forty-two million, four hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1178 2356 4712 9424 18848 172031 344062 688124 1376248 2752496 3268589 5332961 5504992 6537178 10665922 13074356 21331844 26148712 42663688 52297424 85327376 101326259 104594848 170654752 202652518 405305036 810610072 1621220144 3242440288