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23442000 = 243533907
BaseRepresentation
bin101100101101…
…1001001010000
31122002222101020
41121123021100
522000121000
62154235440
7403153011
oct131331120
948088336
1023442000
111226135a
127a25b80
134b1a00a
143183008
1520d0ba0
hex165b250

23442000 has 80 divisors (see below), whose sum is σ = 75596352. Its totient is φ = 6249600.

The previous prime is 23441993. The next prime is 23442007. The reversal of 23442000 is 24432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23441993) and next prime (23442007).

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23442007) by changing a digit.

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, 4047 + ... + 7953.

Almost surely, 223442000 is an apocalyptic number.

23442000 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 23442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37798176).

23442000 is an abundant number, since it is smaller than the sum of its proper divisors (52154352).

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

23442000 is a wasteful number, since it uses less digits than its factorization.

23442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 23442000 is about 4841.6939184546. The cubic root of 23442000 is about 286.1968748942.

Adding to 23442000 its reverse (24432), we get a palindrome (23466432).

The spelling of 23442000 in words is "twenty-three million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 3907 6000 7814 11721 15628 19535 23442 31256 39070 46884 58605 62512 78140 93768 97675 117210 156280 187536 195350 234420 293025 312560 390700 468840 488375 586050 781400 937680 976750 1172100 1465125 1562800 1953500 2344200 2930250 3907000 4688400 5860500 7814000 11721000 23442000