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1042342344 = 23344139233
BaseRepresentation
bin111110001000001…
…110000111001000
32200122100110220000
4332020032013020
54113314423334
6251233003000
734554522651
oct7610160710
92618313800
101042342344
1149541425a
122510b3460
13137c43c24
149c610528
1561797299
hex3e20e1c8

1042342344 has 80 divisors (see below), whose sum is σ = 2990807820. Its totient is φ = 338964480.

The previous prime is 1042342339. The next prime is 1042342349. The reversal of 1042342344 is 4432432401.

It is a happy number.

1042342344 is a `hidden beast` number, since 1 + 0 + 423 + 4 + 234 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1042342339) and next prime (1042342349).

It can be written as a sum of positive squares in 2 ways, for example, as 724148100 + 318194244 = 26910^2 + 17838^2 .

It is a super-3 number, since 3×10423423443 (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1042342349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6952 + ... + 46184.

Almost surely, 21042342344 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 1042342344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495403910).

1042342344 is an abundant number, since it is smaller than the sum of its proper divisors (1948465476).

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

1042342344 is a wasteful number, since it uses less digits than its factorization.

1042342344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39292 (or 39279 counting only the distinct ones).

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

The square root of 1042342344 is about 32285.3270697387. The cubic root of 1042342344 is about 1013.9194642105.

Adding to 1042342344 its reverse (4432432401), we get a palindrome (5474774745).

The spelling of 1042342344 in words is "one billion, forty-two million, three hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 4428 6642 8856 13284 26568 39233 78466 117699 156932 235398 313864 353097 470796 706194 941592 1059291 1412388 1608553 2118582 2824776 3177873 3217106 4237164 4825659 6355746 6434212 8474328 9651318 12711492 12868424 14476977 19302636 25422984 28953954 38605272 43430931 57907908 86861862 115815816 130292793 173723724 260585586 347447448 521171172 1042342344