Search a number
-
+
2374016 = 27171091
BaseRepresentation
bin1001000011100110000000
311110121112112
421003212000
51101432031
6122514452
726115221
oct11034600
94417475
102374016
1113816a7
12965a28
13651758
1445b248
1531d62b
hex243980

2374016 has 32 divisors (see below), whose sum is σ = 5012280. Its totient is φ = 1116160.

The previous prime is 2374007. The next prime is 2374051. The reversal of 2374016 is 6104732.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2373982 and 2374000.

It is a congruent number.

It is an unprimeable number.

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, 1631 + ... + 2721.

22374016 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 2374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506140).

2374016 is an abundant number, since it is smaller than the sum of its proper divisors (2638264).

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

2374016 is a wasteful number, since it uses less digits than its factorization.

2374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2374016 is about 1540.7842159108. The cubic root of 2374016 is about 133.4016538752.

Adding to 2374016 its reverse (6104732), we get a palindrome (8478748).

The spelling of 2374016 in words is "two million, three hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 1091 2176 2182 4364 8728 17456 18547 34912 37094 69824 74188 139648 148376 296752 593504 1187008 2374016