Search a number
-
+
2423400 = 233527577
BaseRepresentation
bin1001001111101001101000
311120010021120
421033221220
51110022100
6123535240
726412210
oct11175150
94503246
102423400
111405811
1298a520
1366b085
14471240
1532d0a0
hex24fa68

2423400 has 96 divisors (see below), whose sum is σ = 8600640. Its totient is φ = 552960.

The previous prime is 2423383. The next prime is 2423411. The reversal of 2423400 is 43242.

2423400 = 882 + 892 + ... + 1992.

It is a happy number.

2423400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2423400.

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 23 ways as a sum of consecutive naturals, for example, 3912 + ... + 4488.

It is an arithmetic number, because the mean of its divisors is an integer number (89590).

22423400 is an apocalyptic number.

2423400 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 2423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300320).

2423400 is an abundant number, since it is smaller than the sum of its proper divisors (6177240).

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

2423400 is a wasteful number, since it uses less digits than its factorization.

2423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 594 counting only the distinct ones).

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

The square root of 2423400 is about 1556.7273364337. The cubic root of 2423400 is about 134.3203148676.

Adding to 2423400 its reverse (43242), we get a palindrome (2466642).

The spelling of 2423400 in words is "two million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 577 600 700 840 1050 1154 1400 1731 2100 2308 2885 3462 4039 4200 4616 5770 6924 8078 8655 11540 12117 13848 14425 16156 17310 20195 23080 24234 28850 32312 34620 40390 43275 48468 57700 60585 69240 80780 86550 96936 100975 115400 121170 161560 173100 201950 242340 302925 346200 403900 484680 605850 807800 1211700 2423400