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23284940 = 2257592819
BaseRepresentation
bin101100011010…
…0110011001100
31121210222221012
41120310303030
521430104230
62151024352
7401630060
oct130646314
947728835
1023284940
1112164358
12796b0b8
134a93693
143141aa0
15209e395
hex1634ccc

23284940 has 48 divisors (see below), whose sum is σ = 56851200. Its totient is φ = 7845312.

The previous prime is 23284889. The next prime is 23284997. The reversal of 23284940 is 4948232.

It is a super-3 number, since 3×232849403 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23284897 and 23284906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6851 + ... + 9669.

It is an arithmetic number, because the mean of its divisors is an integer number (1184400).

Almost surely, 223284940 is an apocalyptic number.

23284940 is a gapful number since it is divisible by the number (20) 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 23284940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28425600).

23284940 is an abundant number, since it is smaller than the sum of its proper divisors (33566260).

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

23284940 is a wasteful number, since it uses less digits than its factorization.

23284940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 23284940 is about 4825.4471295415. The cubic root of 23284940 is about 285.5562747729.

The spelling of 23284940 in words is "twenty-three million, two hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 2819 4130 5638 8260 11276 14095 19733 28190 39466 56380 78932 98665 166321 197330 332642 394660 665284 831605 1164247 1663210 2328494 3326420 4656988 5821235 11642470 23284940