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40314344 = 2371724753
BaseRepresentation
bin1001100111001…
…0010111101000
32210212011212212
42121302113220
540310024334
64000024252
7666444350
oct231622750
983764785
1040314344
1120835844
1211602088
138476955
1454d5b60
153814ece
hex26725e8

40314344 has 96 divisors (see below), whose sum is σ = 95489280. Its totient is φ = 15614976.

The previous prime is 40314343. The next prime is 40314367. The reversal of 40314344 is 44341304.

40314344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40314341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 760622 + ... + 760674.

It is an arithmetic number, because the mean of its divisors is an integer number (994680).

Almost surely, 240314344 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 40314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47744640).

40314344 is an abundant number, since it is smaller than the sum of its proper divisors (55174936).

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

40314344 is a wasteful number, since it uses less digits than its factorization.

40314344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 40314344 is about 6349.3577627977. The cubic root of 40314344 is about 342.8887205704. Note that the first 3 decimals are identical.

Adding to 40314344 its reverse (44341304), we get a palindrome (84655648).

The spelling of 40314344 in words is "forty million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 47 53 56 68 94 106 119 136 188 212 238 289 329 371 376 424 476 578 658 742 799 901 952 1156 1316 1484 1598 1802 2023 2312 2491 2632 2968 3196 3604 4046 4982 5593 6307 6392 7208 8092 9964 11186 12614 13583 15317 16184 17437 19928 22372 25228 27166 30634 34874 42347 44744 50456 54332 61268 69748 84694 95081 107219 108664 122536 139496 169388 190162 214438 296429 338776 380324 428876 592858 719899 760648 857752 1185716 1439798 2371432 2879596 5039293 5759192 10078586 20157172 40314344