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2042430340 = 225374364187
BaseRepresentation
bin111100110111101…
…0000001110000100
312021100012012201011
41321233100032010
513140330232330
6534400212004
7101420241256
oct17157201604
95240165634
102042430340
11958998165
1249000a004
132671b2182
14155381cd6
15be49482a
hex79bd0384

2042430340 has 48 divisors (see below), whose sum is σ = 4507538112. Its totient is φ = 776393856.

The previous prime is 2042430323. The next prime is 2042430347. The reversal of 2042430340 is 430342402.

It is not an unprimeable number, because it can be changed into a prime (2042430347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274 + ... + 63913.

It is an arithmetic number, because the mean of its divisors is an integer number (93907044).

Almost surely, 22042430340 is an apocalyptic number.

2042430340 is a gapful number since it is divisible by the number (20) 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 2042430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253769056).

2042430340 is an abundant number, since it is smaller than the sum of its proper divisors (2465107772).

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

2042430340 is a wasteful number, since it uses less digits than its factorization.

2042430340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64276 (or 64274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2042430340 is about 45193.2554702579. The cubic root of 2042430340 is about 1268.7685875281.

Adding to 2042430340 its reverse (430342402), we get a palindrome (2472772742).

The spelling of 2042430340 in words is "two billion, forty-two million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 43 74 86 148 172 185 215 370 430 740 860 1591 3182 6364 7955 15910 31820 64187 128374 256748 320935 641870 1283740 2374919 2760041 4749838 5520082 9499676 11040164 11874595 13800205 23749190 27600410 47498380 55200820 102121517 204243034 408486068 510607585 1021215170 2042430340