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3242213136 = 243311176719
BaseRepresentation
bin1100000101000000…
…0011111100010000
322100221210111022000
43001100003330100
523120001310021
61253415514000
7143226233301
oct30120037420
98327714260
103242213136
111414165798
12765988900
133c892b816
1422a8567a8
1513e98ab26
hexc1403f10

3242213136 has 80 divisors (see below), whose sum is σ = 9316070400. Its totient is φ = 1079609472.

The previous prime is 3242213111. The next prime is 3242213207. The reversal of 3242213136 is 6313122423.

3242213136 is a `hidden beast` number, since 324 + 2 + 21 + 313 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479185 + ... + 485903.

It is an arithmetic number, because the mean of its divisors is an integer number (116450880).

Almost surely, 23242213136 is an apocalyptic number.

3242213136 is a gapful number since it is divisible by the number (36) 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 3242213136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658035200).

3242213136 is an abundant number, since it is smaller than the sum of its proper divisors (6073857264).

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

3242213136 is a wasteful number, since it uses less digits than its factorization.

3242213136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853 (or 7841 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3242213136 is about 56940.4349825324. The cubic root of 3242213136 is about 1480.0640853672.

Adding to 3242213136 its reverse (6313122423), we get a palindrome (9555335559).

The spelling of 3242213136 in words is "three billion, two hundred forty-two million, two hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1117 2234 3351 4468 6702 6719 8936 10053 13404 13438 17872 20106 20157 26808 26876 30159 40212 40314 53616 53752 60318 60471 80424 80628 107504 120636 120942 160848 161256 181413 241272 241884 322512 362826 482544 483768 725652 967536 1451304 2902608 7505123 15010246 22515369 30020492 45030738 60040984 67546107 90061476 120081968 135092214 180122952 202638321 270184428 360245904 405276642 540368856 810553284 1080737712 1621106568 3242213136