Search a number
-
+
1042400340 = 22345643457
BaseRepresentation
bin111110001000011…
…100010001010100
32200122110102110000
4332020130101110
54113323302330
6251234131300
734555154022
oct7610342124
92618412400
101042400340
11495453893
12251120b30
13137c64447
149c627712
15617a9560
hex3e21c454

1042400340 has 60 divisors (see below), whose sum is σ = 3270053556. Its totient is φ = 277972992.

The previous prime is 1042400329. The next prime is 1042400341. The reversal of 1042400340 is 430042401.

It can be written as a sum of positive squares in 2 ways, for example, as 430728516 + 611671824 = 20754^2 + 24732^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (1042400341) 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, 320109 + ... + 323348.

Almost surely, 21042400340 is an apocalyptic number.

1042400340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042400340 is an abundant number, since it is smaller than the sum of its proper divisors (2227653216).

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

1042400340 is a wasteful number, since it uses less digits than its factorization.

1042400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643478 (or 643467 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1042400340 is about 32286.2252361592. The cubic root of 1042400340 is about 1013.9382687114.

Adding to 1042400340 its reverse (430042401), we get a palindrome (1472442741).

The spelling of 1042400340 in words is "one billion, forty-two million, four hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 643457 1286914 1930371 2573828 3217285 3860742 5791113 6434570 7721484 9651855 11582226 12869140 17373339 19303710 23164452 28955565 34746678 38607420 52120017 57911130 69493356 86866695 104240034 115822260 173733390 208480068 260600085 347466780 521200170 1042400340