Search a number
-
+
2434740 = 22357111731
BaseRepresentation
bin1001010010011010110100
311120200211120
421102122310
51110402430
6124103540
726460240
oct11223264
94520746
102434740
111413290
12994bb0
13673299
14475420
15331610
hex2526b4

2434740 has 192 divisors, whose sum is σ = 9289728. Its totient is φ = 460800.

The previous prime is 2434739. The next prime is 2434763. The reversal of 2434740 is 474342.

It is a d-powerful number, because it can be written as 221 + 4 + 310 + 47 + 7 + 49 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2434740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78525 + ... + 78555.

It is an arithmetic number, because the mean of its divisors is an integer number (48384).

22434740 is an apocalyptic number.

2434740 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 2434740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644864).

2434740 is an abundant number, since it is smaller than the sum of its proper divisors (6854988).

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

2434740 is a wasteful number, since it uses less digits than its factorization.

2434740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 2434740 is about 1560.3653418350. The cubic root of 2434740 is about 134.5295006760.

The spelling of 2434740 in words is "two million, four hundred thirty-four thousand, seven hundred forty".