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23724349 = 112296761
BaseRepresentation
bin101101010000…
…0000100111101
31122122022200121
41122200010331
522033134344
62204254541
7405440125
oct132400475
948568617
1023724349
1112434500
127b41451
134bb869c
143217c85
152139684
hex16a013d

23724349 has 12 divisors (see below), whose sum is σ = 26980380. Its totient is φ = 20820800.

The previous prime is 23724329. The next prime is 23724359. The reversal of 23724349 is 94342732.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15856324 + 7868025 = 3982^2 + 2805^2 .

It is not a de Polignac number, because 23724349 - 213 = 23716157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23724319) 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, 129 + ... + 6889.

It is an arithmetic number, because the mean of its divisors is an integer number (2248365).

Almost surely, 223724349 is an apocalyptic number.

23724349 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

23724349 is a deficient number, since it is larger than the sum of its proper divisors (3256031).

23724349 is a wasteful number, since it uses less digits than its factorization.

23724349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6801 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 23724349 is about 4870.7647243528. The cubic root of 23724349 is about 287.3413324874.

The spelling of 23724349 in words is "twenty-three million, seven hundred twenty-four thousand, three hundred forty-nine".

Divisors: 1 11 29 121 319 3509 6761 74371 196069 818081 2156759 23724349