Search a number
-
+
2434100 = 2252101241
BaseRepresentation
bin1001010010010000110100
311120122221212
421102100310
51110342400
6124100552
726455334
oct11222064
94518855
102434100
111412859
12994758
13672bc6
144750c4
15331335
hex252434

2434100 has 36 divisors (see below), whose sum is σ = 5356428. Its totient is φ = 960000.

The previous prime is 2434099. The next prime is 2434123. The reversal of 2434100 is 14342.

It can be written as a sum of positive squares in 6 ways, for example, as 190096 + 2244004 = 436^2 + 1498^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9980 + ... + 10220.

22434100 is an apocalyptic number.

2434100 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 2434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678214).

2434100 is an abundant number, since it is smaller than the sum of its proper divisors (2922328).

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

2434100 is a wasteful number, since it uses less digits than its factorization.

2434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2434100 is about 1560.1602481797. The cubic root of 2434100 is about 134.5177120900.

Adding to 2434100 its reverse (14342), we get a palindrome (2448442).

The spelling of 2434100 in words is "two million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 241 404 482 505 964 1010 1205 2020 2410 2525 4820 5050 6025 10100 12050 24100 24341 48682 97364 121705 243410 486820 608525 1217050 2434100