Search a number
-
+
2434020 = 2235113359
BaseRepresentation
bin1001010010001111100100
311120122211220
421102033210
51110342040
6124100340
726455161
oct11221744
94518756
102434020
111412796
129946b0
13672b64
14475068
153312d0
hex2523e4

2434020 has 48 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 641536.

The previous prime is 2434013. The next prime is 2434031. The reversal of 2434020 is 204342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6601 + ... + 6959.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

22434020 is an apocalyptic number.

2434020 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 2434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2434020 is an abundant number, since it is smaller than the sum of its proper divisors (4460700).

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

2434020 is a wasteful number, since it uses less digits than its factorization.

2434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2434020 is about 1560.1346095770. The cubic root of 2434020 is about 134.5162383715.

Adding to 2434020 its reverse (204342), we get a palindrome (2638362).

The spelling of 2434020 in words is "two million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 359 452 565 678 718 1077 1130 1356 1436 1695 1795 2154 2260 3390 3590 4308 5385 6780 7180 10770 21540 40567 81134 121701 162268 202835 243402 405670 486804 608505 811340 1217010 2434020