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2404243134 = 234531072617
BaseRepresentation
bin1000111101001101…
…1101011010111110
320012120000012120000
42033103131122332
514410441240014
61034323135130
7113402505126
oct21723353276
96176005500
102404243134
1110241504a7
125712144a6
132c4143097
1418b445c86
15e1113509
hex8f4dd6be

2404243134 has 80 divisors (see below), whose sum is σ = 5542347888. Its totient is φ = 778647168.

The previous prime is 2404243129. The next prime is 2404243169. The reversal of 2404243134 is 4313424042.

It is a happy number.

2404243134 is a `hidden beast` number, since 2 + 404 + 243 + 13 + 4 = 666.

It is a super-3 number, since 3×24042431343 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2404243098 and 2404243107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 917394 + ... + 920010.

Almost surely, 22404243134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404243134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771173944).

2404243134 is an abundant number, since it is smaller than the sum of its proper divisors (3138104754).

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

2404243134 is a wasteful number, since it uses less digits than its factorization.

2404243134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2404243134 is about 49033.0820365190. The cubic root of 2404243134 is about 1339.6544616593.

Adding to 2404243134 its reverse (4313424042), we get a palindrome (6717667176).

It can be divided in two parts, 24042 and 43134, that added together give a palindrome (67176).

The spelling of 2404243134 in words is "two billion, four hundred four million, two hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 107 159 162 214 318 321 477 642 954 963 1431 1926 2617 2862 2889 4293 5234 5671 5778 7851 8586 8667 11342 15702 17013 17334 23553 34026 47106 51039 70659 102078 138701 141318 153117 211977 277402 280019 306234 416103 423954 459351 560038 832206 840057 918702 1248309 1680114 2496618 2520171 3744927 5040342 7489854 7560513 11234781 14841007 15121026 22469562 22681539 29682014 44523021 45363078 89046042 133569063 267138126 400707189 801414378 1202121567 2404243134