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23342000 = 2453111061
BaseRepresentation
bin101100100001…
…0101110110000
31121220220012112
41121002232300
521433421000
62152144452
7402255323
oct131025660
947826175
1023342000
11121a3210
127998128
134ab3646
1431587ba
1520b1235
hex1642bb0

23342000 has 80 divisors (see below), whose sum is σ = 61629984. Its totient is φ = 8480000.

The previous prime is 23341961. The next prime is 23342017. The reversal of 23342000 is 24332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21470 + ... + 22530.

Almost surely, 223342000 is an apocalyptic number.

23342000 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 23342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30814992).

23342000 is an abundant number, since it is smaller than the sum of its proper divisors (38287984).

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

23342000 is a wasteful number, since it uses less digits than its factorization.

23342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 23342000 is about 4831.3559173383. The cubic root of 23342000 is about 285.7893374265.

Adding to 23342000 its reverse (24332), we get a palindrome (23366332).

It can be divided in two parts, 2334 and 2000, that added together give a palindrome (4334).

The spelling of 23342000 in words is "twenty-three million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1061 1100 1375 2000 2122 2200 2750 4244 4400 5305 5500 8488 10610 11000 11671 16976 21220 22000 23342 26525 42440 46684 53050 58355 84880 93368 106100 116710 132625 186736 212200 233420 265250 291775 424400 466840 530500 583550 933680 1061000 1167100 1458875 2122000 2334200 2917750 4668400 5835500 11671000 23342000