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40233144 = 2337713373
BaseRepresentation
bin1001100101111…
…0100010111000
32210201001111110
42121132202320
540244430034
63554200320
7665655540
oct231364270
983631443
1040233144
112078a836
12115830a0
1384489c3
1454b4320
1537eade9
hex265e8b8

40233144 has 64 divisors (see below), whose sum is σ = 116605440. Its totient is φ = 11329920.

The previous prime is 40233119. The next prime is 40233157. The reversal of 40233144 is 44133204.

40233144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×402331442 = 3237411752249472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 40233144.

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 15 ways as a sum of consecutive naturals, for example, 10242 + ... + 13614.

It is an arithmetic number, because the mean of its divisors is an integer number (1821960).

Almost surely, 240233144 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 40233144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58302720).

40233144 is an abundant number, since it is smaller than the sum of its proper divisors (76372296).

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

40233144 is a wasteful number, since it uses less digits than its factorization.

40233144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 40233144 is about 6342.9601922131. The cubic root of 40233144 is about 342.6583536131.

Adding to 40233144 its reverse (44133204), we get a palindrome (84366348).

The spelling of 40233144 in words is "forty million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2982 3373 3976 5964 6746 10119 11928 13492 20238 23611 26984 40476 47222 70833 80952 94444 141666 188888 239483 283332 478966 566664 718449 957932 1436898 1676381 1915864 2873796 3352762 5029143 5747592 6705524 10058286 13411048 20116572 40233144