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40354119 = 3413192017
BaseRepresentation
bin1001100111110…
…0000101000111
32210221012110000
42121330011013
540312312434
64000532343
71000001331
oct231740507
983835400
1040354119
1120862713
12116210b3
13848baa0
145506451
153821b99
hex267c147

40354119 has 40 divisors (see below), whose sum is σ = 68369840. Its totient is φ = 23514624.

The previous prime is 40354103. The next prime is 40354163. The reversal of 40354119 is 91145304.

40354119 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40354119 - 24 = 40354103 is a prime.

It is a super-2 number, since 2×403541192 = 3256909840532322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 40354119 = 83 + 3433 = 1913 + 3223.

It is a junction number, because it is equal to n+sod(n) for n = 40354092 and 40354101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40354189) 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 39 ways as a sum of consecutive naturals, for example, 18999 + ... + 21015.

It is an arithmetic number, because the mean of its divisors is an integer number (1709246).

Almost surely, 240354119 is an apocalyptic number.

40354119 is a deficient number, since it is larger than the sum of its proper divisors (28015721).

40354119 is a wasteful number, since it uses less digits than its factorization.

40354119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 40354119 is about 6352.4891971573. The cubic root of 40354119 is about 343.0014506366.

The spelling of 40354119 in words is "forty million, three hundred fifty-four thousand, one hundred nineteen".

Divisors: 1 3 9 13 19 27 39 57 81 117 171 247 351 513 741 1053 1539 2017 2223 6051 6669 18153 20007 26221 38323 54459 78663 114969 163377 235989 344907 498199 707967 1034721 1494597 2123901 3104163 4483791 13451373 40354119