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2412032 = 297673
BaseRepresentation
bin1001001100111000000000
311112112200112
421030320000
51104141112
6123410452
726334110
oct11147000
94475615
102412032
1113a8217
12983a28
13665b4c
1446b040
15329a22
hex24ce00

2412032 has 40 divisors (see below), whose sum is σ = 5516016. Its totient is φ = 1032192.

The previous prime is 2412029. The next prime is 2412037. The reversal of 2412032 is 2302142.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2411998 and 2412016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412037) 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 3 ways as a sum of consecutive naturals, for example, 3248 + ... + 3920.

22412032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758008).

2412032 is an abundant number, since it is smaller than the sum of its proper divisors (3103984).

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

2412032 is an frugal number, since it uses more digits than its factorization.

2412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2412032 is about 1553.0717948633. The cubic root of 2412032 is about 134.1099565292.

Adding to 2412032 its reverse (2302142), we get a palindrome (4714174).

The spelling of 2412032 in words is "two million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 673 896 1346 1792 2692 3584 4711 5384 9422 10768 18844 21536 37688 43072 75376 86144 150752 172288 301504 344576 603008 1206016 2412032