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40314352 = 2413191012
BaseRepresentation
bin1001100111001…
…0010111110000
32210212011220011
42121302113300
540310024402
64000024304
7666444361
oct231622760
983764804
1040314352
1120835851
1211602094
138476960
1454d5b68
153814ed7
hex26725f0

40314352 has 60 divisors (see below), whose sum is σ = 89430040. Its totient is φ = 17452800.

The previous prime is 40314343. The next prime is 40314367. The reversal of 40314352 is 25341304.

40314352 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 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 11 ways as a sum of consecutive naturals, for example, 399102 + ... + 399202.

Almost surely, 240314352 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 40314352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44715020).

40314352 is an abundant number, since it is smaller than the sum of its proper divisors (49115688).

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

40314352 is a wasteful number, since it uses less digits than its factorization.

40314352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 40314352 is about 6349.3583927827. The cubic root of 40314352 is about 342.8887432514. Note that the first 3 decimals are identical.

Adding to 40314352 its reverse (25341304), we get a palindrome (65655656).

The spelling of 40314352 in words is "forty million, three hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 101 104 152 202 208 247 304 404 494 808 988 1313 1616 1919 1976 2626 3838 3952 5252 7676 10201 10504 15352 20402 21008 24947 30704 40804 49894 81608 99788 132613 163216 193819 199576 265226 387638 399152 530452 775276 1060904 1550552 2121808 2519647 3101104 5039294 10078588 20157176 40314352