23408 has 40 divisors (see below), whose sum is σ = 59520. Its totient is φ = 8640.

The previous prime is 23399. The next prime is 23417. The reversal of 23408 is 80432.

23408 = 2^{3} + 3^{3} + ... + 17^{3}.

It is a Cunningham number, because it is equal to 153^{2}-1.

It is an interprime number because it is at equal distance from previous prime (23399) and next prime (23417).

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

23408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1223 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

2^{23408} is an apocalyptic number.

23408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760).

23408 is an abundant number, since it is smaller than the sum of its proper divisors (36112).

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

23408 is a wasteful number, since it uses less digits than its factorization.

With its successor (23409) it forms an eRAP, since the sums of their prime factors are consecutive (45 and 46).

23408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 23408 is about 152.9967319912. The cubic root of 23408 is about 28.6058442423.

The spelling of 23408 in words is "twenty-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1232 1463 1672 2128 2926 3344 5852 11704 23408

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.057 sec. • engine limits •