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2534004 = 22361179
BaseRepresentation
bin1001101010101001110100
311202202000000
421222221310
51122042004
6130151300
730352524
oct11525164
94682000
102534004
111480920
12a22530
136a9515
1449d684
15350c39
hex26aa74

2534004 has 84 divisors (see below), whose sum is σ = 7344960. Its totient is φ = 758160.

The previous prime is 2533967. The next prime is 2534009. The reversal of 2534004 is 4004352.

It is a happy number.

2534004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 32037 + ... + 32115.

It is an arithmetic number, because the mean of its divisors is an integer number (87440).

22534004 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 2534004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672480).

2534004 is an abundant number, since it is smaller than the sum of its proper divisors (4810956).

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

2534004 is a wasteful number, since it uses less digits than its factorization.

2534004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2534004 is about 1591.8555210822. The cubic root of 2534004 is about 136.3334522283. Note that the first 3 decimals are identical.

Adding to 2534004 its reverse (4004352), we get a palindrome (6538356).

The spelling of 2534004 in words is "two million, five hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 79 81 99 108 132 158 162 198 237 243 297 316 324 396 474 486 594 711 729 869 891 948 972 1188 1422 1458 1738 1782 2133 2607 2673 2844 2916 3476 3564 4266 5214 5346 6399 7821 8019 8532 10428 10692 12798 15642 16038 19197 23463 25596 31284 32076 38394 46926 57591 70389 76788 93852 115182 140778 211167 230364 281556 422334 633501 844668 1267002 2534004