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23628348 = 22373773
BaseRepresentation
bin101101000100…
…0101000111100
31122110110000000
41122020220330
522022101343
62202234300
7404560212
oct132105074
948413000
1023628348
1112379367
127ab5990
134b83a93
1431d0cb2
15211aed3
hex1688a3c

23628348 has 96 divisors (see below), whose sum is σ = 64563520. Its totient is φ = 7558272.

The previous prime is 23628307. The next prime is 23628349. The reversal of 23628348 is 84382632.

23628348 is a `hidden beast` number, since 23 + 628 + 3 + 4 + 8 = 666.

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 (23628349) 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 31 ways as a sum of consecutive naturals, for example, 323640 + ... + 323712.

Almost surely, 223628348 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 23628348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32281760).

23628348 is an abundant number, since it is smaller than the sum of its proper divisors (40935172).

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

23628348 is an equidigital number, since it uses as much as digits as its factorization.

23628348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 23628348 is about 4860.8999166821. The cubic root of 23628348 is about 286.9532312594.

The spelling of 23628348 in words is "twenty-three million, six hundred twenty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 73 74 81 108 111 146 148 162 219 222 243 292 324 333 438 444 486 657 666 729 876 972 999 1314 1332 1458 1971 1998 2187 2628 2701 2916 2997 3942 3996 4374 5402 5913 5994 7884 8103 8748 8991 10804 11826 11988 16206 17739 17982 23652 24309 26973 32412 35478 35964 48618 53217 53946 70956 72927 80919 97236 106434 107892 145854 159651 161838 212868 218781 291708 319302 323676 437562 638604 656343 875124 1312686 1969029 2625372 3938058 5907087 7876116 11814174 23628348