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1042414340 = 2251141163709
BaseRepresentation
bin111110001000011…
…111101100000100
32200122111010122112
4332020133230010
54113324224330
6251234320152
734555242602
oct7610375404
92618433575
101042414340
11495463360
12251129058
13137c6a926
149c62c872
15617ad795
hex3e21fb04

1042414340 has 96 divisors (see below), whose sum is σ = 2464801920. Its totient is φ = 367027200.

The previous prime is 1042414319. The next prime is 1042414343. The reversal of 1042414340 is 434142401.

It is a happy number.

1042414340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1042414343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1469906 + ... + 1470614.

It is an arithmetic number, because the mean of its divisors is an integer number (25675020).

Almost surely, 21042414340 is an apocalyptic number.

1042414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232400960).

1042414340 is an abundant number, since it is smaller than the sum of its proper divisors (1422387580).

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

1042414340 is a wasteful number, since it uses less digits than its factorization.

1042414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1042414340 is about 32286.4420461593. The cubic root of 1042414340 is about 1013.9428079374.

Adding to 1042414340 its reverse (434142401), we get a palindrome (1476556741).

The spelling of 1042414340 in words is "one billion, forty-two million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 163 164 205 220 326 410 451 652 709 815 820 902 1418 1630 1793 1804 2255 2836 3260 3545 3586 4510 6683 7090 7172 7799 8965 9020 13366 14180 15598 17930 26732 29069 31196 33415 35860 38995 58138 66830 73513 77990 115567 116276 133660 145345 147026 155980 231134 290690 294052 319759 367565 462268 577835 581380 639518 735130 1155670 1271237 1279036 1470260 1598795 2311340 2542474 3197590 4738247 5084948 6356185 6395180 9476494 12712370 18952988 23691235 25424740 47382470 52120717 94764940 104241434 208482868 260603585 521207170 1042414340