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23434680 = 23351791091
BaseRepresentation
bin101100101100…
…1010110111000
31122002121100010
41121121112320
521444402210
62154141520
7403122453
oct131312670
948077303
1023434680
1112256905
127a218a0
134b16899
14318049a
1520cd920
hex16595b8

23434680 has 64 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 6208640.

The previous prime is 23434669. The next prime is 23434681. The reversal of 23434680 is 8643432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434681) 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, 20935 + ... + 22025.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 223434680 is an apocalyptic number.

23434680 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 23434680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

23434680 is an abundant number, since it is smaller than the sum of its proper divisors (47326920).

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

23434680 is a wasteful number, since it uses less digits than its factorization.

23434680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 23434680 is about 4840.9379256504. The cubic root of 23434680 is about 286.1670825098.

The spelling of 23434680 in words is "twenty-three million, four hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1091 1432 1790 2148 2182 2685 3273 3580 4296 4364 5370 5455 6546 7160 8728 10740 10910 13092 16365 21480 21820 26184 32730 43640 65460 130920 195289 390578 585867 781156 976445 1171734 1562312 1952890 2343468 2929335 3905780 4686936 5858670 7811560 11717340 23434680