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23400450 = 23252149349
BaseRepresentation
bin101100101000…
…1000000000010
31122000212101100
41121101000002
521442303300
62153315230
7402620613
oct131210002
948025340
1023400450
1112233117
127a05b16
134b04128
143171c0a
1520c3700
hex1651002

23400450 has 72 divisors (see below), whose sum is σ = 63472500. Its totient is φ = 6180480.

The previous prime is 23400427. The next prime is 23400451. The reversal of 23400450 is 5400432.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6335289 + 17065161 = 2517^2 + 4131^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23400451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66876 + ... + 67224.

Almost surely, 223400450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23400450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31736250).

23400450 is an abundant number, since it is smaller than the sum of its proper divisors (40072050).

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

23400450 is a wasteful number, since it uses less digits than its factorization.

23400450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 23400450 is about 4837.4011617810. The cubic root of 23400450 is about 286.0276840856.

Subtracting from 23400450 its sum of digits (18), we obtain a palindrome (23400432).

Adding to 23400450 its reverse (5400432), we get a palindrome (28800882).

The spelling of 23400450 in words is "twenty-three million, four hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 149 150 225 298 349 447 450 698 745 894 1047 1341 1490 1745 2094 2235 2682 3141 3490 3725 4470 5235 6282 6705 7450 8725 10470 11175 13410 15705 17450 22350 26175 31410 33525 52001 52350 67050 78525 104002 156003 157050 260005 312006 468009 520010 780015 936018 1300025 1560030 2340045 2600050 3900075 4680090 7800150 11700225 23400450