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2042440434 = 23423223833
BaseRepresentation
bin111100110111101…
…0010101011110010
312021100012201120000
41321233102223302
513140331043214
6534400330430
7101420312556
oct17157225362
95240181500
102042440434
119589a4801
12490013a16
132671b6948
14155385866
15be497809
hex79bd2af2

2042440434 has 60 divisors (see below), whose sum is σ = 4784413326. Its totient is φ = 651185568.

The previous prime is 2042440427. The next prime is 2042440453. The reversal of 2042440434 is 4340442402.

It is a happy number.

2042440434 is a `hidden beast` number, since 204 + 24 + 4 + 0 + 434 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1372924809 + 669515625 = 37053^2 + 25875^2 .

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 = 2042440398 and 2042440407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 73782 + ... + 97614.

Almost surely, 22042440434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042440434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392206663).

2042440434 is an abundant number, since it is smaller than the sum of its proper divisors (2741972892).

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

2042440434 is a wasteful number, since it uses less digits than its factorization.

2042440434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23893 (or 23861 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2042440434 is about 45193.3671460758. The cubic root of 2042440434 is about 1268.7706776735.

Adding to 2042440434 its reverse (4340442402), we get a palindrome (6382882836).

The spelling of 2042440434 in words is "two billion, forty-two million, four hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 529 621 1058 1242 1587 1863 3174 3726 4761 9522 14283 23833 28566 42849 47666 71499 85698 142998 214497 428994 548159 643491 1096318 1286982 1644477 1930473 3288954 3860946 4933431 9866862 12607657 14800293 25215314 29600586 37822971 44400879 75645942 88801758 113468913 226937826 340406739 680813478 1021220217 2042440434