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918381040 = 24514338011
BaseRepresentation
bin110110101111010…
…110000111110000
32101000002120221121
4312233112013300
53340101143130
6231044032024
731521052513
oct6657260760
92330076847
10918381040
114314472a5
12217692614
13118360c45
1489d82d7a
155595cd7a
hex36bd61f0

918381040 has 40 divisors (see below), whose sum is σ = 2136992688. Its totient is φ = 367050240.

The previous prime is 918381029. The next prime is 918381041. The reversal of 918381040 is 40183819.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 918380987 and 918381005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918381041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 110635 + ... + 118645.

Almost surely, 2918381040 is an apocalyptic number.

It is an amenable number.

918381040 is an abundant number, since it is smaller than the sum of its proper divisors (1218611648).

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

918381040 is a wasteful number, since it uses less digits than its factorization.

918381040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 918381040 is about 30304.8022597079. The cubic root of 918381040 is about 972.0179903753.

The spelling of 918381040 in words is "nine hundred eighteen million, three hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1433 2866 5732 7165 8011 11464 14330 16022 22928 28660 32044 40055 57320 64088 80110 114640 128176 160220 320440 640880 11479763 22959526 45919052 57398815 91838104 114797630 183676208 229595260 459190520 918381040