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144634868 = 2273271389
BaseRepresentation
bin10001001111011…
…11001111110100
3101002011012201222
420213233033310
5244011303433
622204005512
73404243000
oct1047571764
9332135658
10144634868
1174708354
1240530898
1323c70b81
14152cd700
15ca6eb98
hex89ef3f4

144634868 has 48 divisors (see below), whose sum is σ = 297024000. Its totient is φ = 61598880.

The previous prime is 144634849. The next prime is 144634877. The reversal of 144634868 is 868436441.

144634868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 371618 + ... + 372006.

It is an arithmetic number, because the mean of its divisors is an integer number (6188000).

Almost surely, 2144634868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144634868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148512000).

144634868 is an abundant number, since it is smaller than the sum of its proper divisors (152389132).

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

144634868 is a wasteful number, since it uses less digits than its factorization.

144634868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 669 counting only the distinct ones).

The product of its digits is 442368, while the sum is 44.

The square root of 144634868 is about 12026.4237410795. The cubic root of 144634868 is about 524.9174388690.

The spelling of 144634868 in words is "one hundred forty-four million, six hundred thirty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 271 343 389 542 686 778 1084 1372 1556 1897 2723 3794 5446 7588 10892 13279 19061 26558 38122 53116 76244 92953 105419 133427 185906 210838 266854 371812 421676 533708 737933 1475866 2951732 5165531 10331062 20662124 36158717 72317434 144634868