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2434128 = 2431719157
BaseRepresentation
bin1001010010010001010000
311120122222220
421102101100
51110343003
6124101040
726455404
oct11222120
94518886
102434128
111412884
12994780
13672c18
14475104
15331353
hex252450

2434128 has 80 divisors (see below), whose sum is σ = 7053120. Its totient is φ = 718848.

The previous prime is 2434127. The next prime is 2434139. The reversal of 2434128 is 8214342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2434098 and 2434107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15426 + ... + 15582.

It is an arithmetic number, because the mean of its divisors is an integer number (88164).

22434128 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 2434128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526560).

2434128 is an abundant number, since it is smaller than the sum of its proper divisors (4618992).

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

2434128 is a wasteful number, since it uses less digits than its factorization.

2434128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2434128 is about 1560.1692215910. The cubic root of 2434128 is about 134.5182278839.

It can be divided in two parts, 243 and 4128, that added together give a triangular number (4371 = T93).

The spelling of 2434128 in words is "two million, four hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 157 204 228 272 304 314 323 408 456 471 628 646 816 912 942 969 1256 1292 1884 1938 2512 2584 2669 2983 3768 3876 5168 5338 5966 7536 7752 8007 8949 10676 11932 15504 16014 17898 21352 23864 32028 35796 42704 47728 50711 64056 71592 101422 128112 143184 152133 202844 304266 405688 608532 811376 1217064 2434128