Search a number
-
+
34241420 = 22519251359
BaseRepresentation
bin1000001010011…
…1101110001100
32101102122101202
42002213232030
532231211140
63221525032
7564022133
oct202475614
971378352
1034241420
11183680a4
12b573778
13712b6c5
14479491a
153015915
hex20a7b8c

34241420 has 48 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 12888000.

The previous prime is 34241419. The next prime is 34241429. The reversal of 34241420 is 2414243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34241392 and 34241401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34241429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95201 + ... + 95559.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 234241420 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 34241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

34241420 is an abundant number, since it is smaller than the sum of its proper divisors (41963380).

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

34241420 is a wasteful number, since it uses less digits than its factorization.

34241420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 34241420 is about 5851.6168705752. The cubic root of 34241420 is about 324.7261440580.

Adding to 34241420 its reverse (2414243), we get a palindrome (36655663).

The spelling of 34241420 in words is "thirty-four million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 251 359 380 502 718 1004 1255 1436 1795 2510 3590 4769 5020 6821 7180 9538 13642 19076 23845 27284 34105 47690 68210 90109 95380 136420 180218 360436 450545 901090 1712071 1802180 3424142 6848284 8560355 17120710 34241420