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40414302 = 23653523
BaseRepresentation
bin1001101000101…
…0110001011110
32211001021000000
42122022301132
540321224202
64002115130
71000341645
oct232126136
984037000
1040414302
11208a3955
121164baa6
1384b02b6
14552035c
15383491c
hex268ac5e

40414302 has 56 divisors (see below), whose sum is σ = 92782584. Its totient is φ = 13191984.

The previous prime is 40414279. The next prime is 40414303. The reversal of 40414302 is 20341404.

40414302 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 2×404143022 = 3266631612294408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40414303) 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 27 ways as a sum of consecutive naturals, for example, 77013 + ... + 77535.

Almost surely, 240414302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40414302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46391292).

40414302 is an abundant number, since it is smaller than the sum of its proper divisors (52368282).

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

40414302 is an equidigital number, since it uses as much as digits as its factorization.

40414302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40414302 is about 6357.2243943407. The cubic root of 40414302 is about 343.1718801842.

Adding to 40414302 its reverse (20341404), we get a palindrome (60755706).

It can be divided in two parts, 404 and 14302, that added together give a triangular number (14706 = T171).

The spelling of 40414302 in words is "forty million, four hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 523 729 954 1046 1431 1458 1569 2862 3138 4293 4707 8586 9414 12879 14121 25758 27719 28242 38637 42363 55438 77274 83157 84726 127089 166314 249471 254178 381267 498942 748413 762534 1496826 2245239 4490478 6735717 13471434 20207151 40414302