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2434104 = 233359191
BaseRepresentation
bin1001010010010000111000
311120122222000
421102100320
51110342404
6124101000
726455341
oct11222070
94518860
102434104
111412862
12994760
13672bca
144750c8
15331339
hex252438

2434104 has 64 divisors (see below), whose sum is σ = 6912000. Its totient is φ = 793440.

The previous prime is 2434099. The next prime is 2434123. The reversal of 2434104 is 4014342.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 12649 + ... + 12839.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

22434104 is an apocalyptic number.

2434104 is a gapful number since it is divisible by the number (24) 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 2434104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456000).

2434104 is an abundant number, since it is smaller than the sum of its proper divisors (4477896).

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

2434104 is a wasteful number, since it uses less digits than its factorization.

2434104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2434104 is about 1560.1615300987. The cubic root of 2434104 is about 134.5177857751.

Adding to 2434104 its reverse (4014342), we get a palindrome (6448446).

The spelling of 2434104 in words is "two million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 191 216 236 354 382 472 531 573 708 764 1062 1146 1416 1528 1593 1719 2124 2292 3186 3438 4248 4584 5157 6372 6876 10314 11269 12744 13752 20628 22538 33807 41256 45076 67614 90152 101421 135228 202842 270456 304263 405684 608526 811368 1217052 2434104