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23480424 = 233211231289
BaseRepresentation
bin101100110010…
…0100001101000
31122011221002100
41121210201220
522002333144
62155133400
7403403022
oct131444150
948157070
1023480424
1112288210
127a44260
134b31656
143193012
1520dc269
hex1664868

23480424 has 96 divisors (see below), whose sum is σ = 72446400. Its totient is φ = 6800640.

The previous prime is 23480419. The next prime is 23480437. The reversal of 23480424 is 42408432.

It is a happy number.

23480424 is a `hidden beast` number, since 234 + 8 + 0 + 424 = 666.

It is a super-2 number, since 2×234804242 = 1102660622439552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17572 + ... + 18860.

It is an arithmetic number, because the mean of its divisors is an integer number (754650).

Almost surely, 223480424 is an apocalyptic number.

23480424 is a gapful number since it is divisible by the number (24) 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 23480424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36223200).

23480424 is an abundant number, since it is smaller than the sum of its proper divisors (48965976).

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

23480424 is a wasteful number, since it uses less digits than its factorization.

23480424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 23480424 is about 4845.6603265190. The cubic root of 23480424 is about 286.3531588553.

Adding to 23480424 its reverse (42408432), we get a palindrome (65888856).

The spelling of 23480424 in words is "twenty-three million, four hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1289 1518 1656 2024 2277 2578 3036 3867 4554 5156 6072 7734 9108 10312 11601 14179 15468 18216 23202 28358 29647 30936 42537 46404 56716 59294 85074 88941 92808 113432 118588 127611 170148 177882 237176 255222 266823 326117 340296 355764 510444 533646 652234 711528 978351 1020888 1067292 1304468 1956702 2134584 2608936 2935053 3913404 5870106 7826808 11740212 23480424