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2400412 = 227237331
BaseRepresentation
bin1001001010000010011100
311111221202011
421022002130
51103303122
6123241004
726255200
oct11120234
94457664
102400412
11139a513
12979164
13660781
14466b00
15326377
hex24a09c

2400412 has 36 divisors (see below), whose sum is σ = 5033784. Its totient is φ = 997920.

The previous prime is 2400407. The next prime is 2400413. The reversal of 2400412 is 2140042.

It is a junction number, because it is equal to n+sod(n) for n = 2400392 and 2400401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7087 + ... + 7417.

22400412 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 2400412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516892).

2400412 is an abundant number, since it is smaller than the sum of its proper divisors (2633372).

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

2400412 is a wasteful number, since it uses less digits than its factorization.

2400412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2400412 is about 1549.3263052049. The cubic root of 2400412 is about 133.8942508663.

Adding to 2400412 its reverse (2140042), we get a palindrome (4540454).

The spelling of 2400412 in words is "two million, four hundred thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 331 518 662 1036 1324 1813 2317 3626 4634 7252 9268 12247 16219 24494 32438 48988 64876 85729 171458 342916 600103 1200206 2400412