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23345080 = 23511173121
BaseRepresentation
bin101100100001…
…1011110111000
31121221001102121
41121003132320
521434020310
62152211024
7402300313
oct131033670
947831377
1023345080
11121a5560
127999a74
134ab4b75
14315997a
1520b20da
hex16437b8

23345080 has 64 divisors (see below), whose sum is σ = 60691680. Its totient is φ = 7987200.

The previous prime is 23345071. The next prime is 23345081. The reversal of 23345080 is 8054332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23345081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5920 + ... + 9040.

Almost surely, 223345080 is an apocalyptic number.

23345080 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 23345080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30345840).

23345080 is an abundant number, since it is smaller than the sum of its proper divisors (37346600).

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

23345080 is a wasteful number, since it uses less digits than its factorization.

23345080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 23345080 is about 4831.6746579214. The cubic root of 23345080 is about 285.8019069356.

The spelling of 23345080 in words is "twenty-three million, three hundred forty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3121 3740 6242 7480 12484 15605 24968 31210 34331 53057 62420 68662 106114 124840 137324 171655 212228 265285 274648 343310 424456 530570 583627 686620 1061140 1167254 1373240 2122280 2334508 2918135 4669016 5836270 11672540 23345080