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23088348 = 2233713011
BaseRepresentation
bin101100000010…
…0110011011100
31121110000021000
41120010303130
521402311343
62142510300
7400150653
oct130046334
947400230
1023088348
111203a688
127895390
134a2505a
1430d019a
152060ed3
hex1604cdc

23088348 has 48 divisors (see below), whose sum is σ = 60721920. Its totient is φ = 7585200.

The previous prime is 23088347. The next prime is 23088349. The reversal of 23088348 is 84388032.

It is a happy number.

23088348 is a `hidden beast` number, since 2 + 308 + 8 + 348 = 666.

It is an interprime number because it is at equal distance from previous prime (23088347) and next prime (23088349).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23088341) 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 15 ways as a sum of consecutive naturals, for example, 6163 + ... + 9173.

It is an arithmetic number, because the mean of its divisors is an integer number (1265040).

Almost surely, 223088348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23088348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30360960).

23088348 is an abundant number, since it is smaller than the sum of its proper divisors (37633572).

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

23088348 is a wasteful number, since it uses less digits than its factorization.

23088348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 23088348 is about 4805.0336107045. The cubic root of 23088348 is about 284.7503631196.

It can be divided in two parts, 23088 and 348, that added together give a triangular number (23436 = T216).

The spelling of 23088348 in words is "twenty-three million, eighty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3011 3834 6022 7668 9033 12044 18066 27099 36132 54198 81297 108396 162594 213781 325188 427562 641343 855124 1282686 1924029 2565372 3848058 5772087 7696116 11544174 23088348