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23430414 = 237571977
BaseRepresentation
bin101100101100…
…0010100001110
31122002101111010
41121120110032
521444233124
62154110050
7403104150
oct131302416
948071433
1023430414
1112253687
127a1b326
134b14967
14317cad0
1520cc529
hex165850e

23430414 has 32 divisors (see below), whose sum is σ = 53703936. Its totient is φ = 6675840.

The previous prime is 23430409. The next prime is 23430431. The reversal of 23430414 is 41403432.

It is a super-2 number, since 2×234304142 = 1097968600422792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23494 + ... + 24470.

It is an arithmetic number, because the mean of its divisors is an integer number (1678248).

Almost surely, 223430414 is an apocalyptic number.

23430414 is an abundant number, since it is smaller than the sum of its proper divisors (30273522).

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

23430414 is a wasteful number, since it uses less digits than its factorization.

23430414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 23430414 is about 4840.4972885025. The cubic root of 23430414 is about 286.1497170375.

Adding to 23430414 its sum of digits (21), we get a triangular number (23430435 = T6845).

Adding to 23430414 its reverse (41403432), we get a palindrome (64833846).

The spelling of 23430414 in words is "twenty-three million, four hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 571 977 1142 1713 1954 2931 3426 3997 5862 6839 7994 11991 13678 20517 23982 41034 557867 1115734 1673601 3347202 3905069 7810138 11715207 23430414