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4364240364 = 2233116160223
BaseRepresentation
bin1000001000010000…
…10000010111101100
3102021011002101022000
410010020100113230
532414221142424
62001020452300
7213102300561
oct40410202754
912234071260
104364240364
11193a555420
12a196aa090
13547222563
142d588a868
151a82233c9
hex1042105ec

4364240364 has 96 divisors (see below), whose sum is σ = 12545863680. Its totient is φ = 1300795200.

The previous prime is 4364240333. The next prime is 4364240383. The reversal of 4364240364 is 4630424634.

4364240364 is a `hidden beast` number, since 4 + 3 + 642 + 4 + 0 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 42357 + ... + 102579.

It is an arithmetic number, because the mean of its divisors is an integer number (130686080).

Almost surely, 24364240364 is an apocalyptic number.

4364240364 is a gapful number since it is divisible by the number (44) 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 4364240364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272931840).

4364240364 is an abundant number, since it is smaller than the sum of its proper divisors (8181623316).

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

4364240364 is a wasteful number, since it uses less digits than its factorization.

4364240364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60308 (or 60300 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The square root of 4364240364 is about 66062.3975041778. The cubic root of 4364240364 is about 1634.1912741445.

Adding to 4364240364 its reverse (4630424634), we get a palindrome (8994664998).

The spelling of 4364240364 in words is "four billion, three hundred sixty-four million, two hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 366 396 549 594 671 732 1098 1188 1342 1647 2013 2196 2684 3294 4026 6039 6588 8052 12078 18117 24156 36234 60223 72468 120446 180669 240892 361338 542007 662453 722676 1084014 1324906 1626021 1987359 2168028 2649812 3252042 3673603 3974718 5962077 6504084 7347206 7949436 11020809 11924154 14694412 17886231 22041618 23848308 33062427 35772462 40409633 44083236 66124854 71544924 80819266 99187281 121228899 132249708 161638532 198374562 242457798 363686697 396749124 484915596 727373394 1091060091 1454746788 2182120182 4364240364