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3254214240 = 253252259871
BaseRepresentation
bin1100000111110111…
…0101111001100000
322101210101012201100
43001331311321200
523131034323430
61254525034400
7143433236034
oct30175657140
98353335640
103254214240
11141aa12362
127699b5a00
133cb271174
1422c29c1c4
15140a5b960
hexc1f75e60

3254214240 has 72 divisors (see below), whose sum is σ = 11105011008. Its totient is φ = 867790080.

The previous prime is 3254214209. The next prime is 3254214259. The reversal of 3254214240 is 424124523.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1128496 + ... + 1131375.

It is an arithmetic number, because the mean of its divisors is an integer number (154236264).

Almost surely, 23254214240 is an apocalyptic number.

3254214240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3254214240 is an abundant number, since it is smaller than the sum of its proper divisors (7850796768).

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

3254214240 is a wasteful number, since it uses less digits than its factorization.

3254214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259892 (or 2259881 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3254214240 is about 57045.7206107522. The cubic root of 3254214240 is about 1481.8879971303.

Adding to 3254214240 its reverse (424124523), we get a palindrome (3678338763).

The spelling of 3254214240 in words is "three billion, two hundred fifty-four million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2259871 4519742 6779613 9039484 11299355 13559226 18078968 20338839 22598710 27118452 33898065 36157936 40677678 45197420 54236904 67796130 72315872 81355356 90394840 101694195 108473808 135592260 162710712 180789680 203388390 216947616 271184520 325421424 361579360 406776780 542369040 650842848 813553560 1084738080 1627107120 3254214240