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23643414 = 23548649
BaseRepresentation
bin101101000110…
…0010100010110
31122111012200000
41122030110112
522023042124
62202432130
7404652144
oct132142426
948435600
1023643414
1112389713
127b02646
134b8a8b2
1431d6594
1521206c9
hex168c516

23643414 has 24 divisors (see below), whose sum is σ = 53125800. Its totient is φ = 7880976.

The previous prime is 23643409. The next prime is 23643419. The reversal of 23643414 is 41434632.

23643414 is a `hidden beast` number, since 2 + 3 + 643 + 4 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (23643409) and next prime (23643419).

It is a super-2 number, since 2×236434142 = 1118022051150792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23643419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23839 + ... + 24810.

It is an arithmetic number, because the mean of its divisors is an integer number (2213575).

Almost surely, 223643414 is an apocalyptic number.

23643414 is an abundant number, since it is smaller than the sum of its proper divisors (29482386).

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

23643414 is an equidigital number, since it uses as much as digits as its factorization.

23643414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48666 (or 48654 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 23643414 is about 4862.4493827700. The cubic root of 23643414 is about 287.0142077165.

It can be divided in two parts, 2364 and 3414, that added together give a triangular number (5778 = T107).

The spelling of 23643414 in words is "twenty-three million, six hundred forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 48649 97298 145947 291894 437841 875682 1313523 2627046 3940569 7881138 11821707 23643414