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2042434140 = 223534040569
BaseRepresentation
bin111100110111101…
…0001001001011100
312021100012101220220
41321233101021130
513140330343030
6534400241340
7101420255325
oct17157211134
95240171826
102042434140
1195899aaaa
12490010250
132671b3b16
1415538344c
15be495a10
hex79bd125c

2042434140 has 24 divisors (see below), whose sum is σ = 5718815760. Its totient is φ = 544649088.

The previous prime is 2042434139. The next prime is 2042434181. The reversal of 2042434140 is 414342402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2042434140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17020225 + ... + 17020344.

It is an arithmetic number, because the mean of its divisors is an integer number (238283990).

Almost surely, 22042434140 is an apocalyptic number.

2042434140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042434140 is an abundant number, since it is smaller than the sum of its proper divisors (3676381620).

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

2042434140 is a wasteful number, since it uses less digits than its factorization.

2042434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34040581 (or 34040579 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2042434140 is about 45193.2975119099. The cubic root of 2042434140 is about 1268.7693743877.

Adding to 2042434140 its reverse (414342402), we get a palindrome (2456776542).

The spelling of 2042434140 in words is "two billion, forty-two million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 34040569 68081138 102121707 136162276 170202845 204243414 340405690 408486828 510608535 680811380 1021217070 2042434140