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2024350040 = 235127939569
BaseRepresentation
bin111100010101001…
…0010000101011000
312020002011122012102
41320222102011120
513121213200130
6532512502532
7101110456106
oct17052220530
95202148172
102024350040
11949769169
12485b4aa48
1326352177b
14152bd6c76
15bcac2645
hex78a92158

2024350040 has 32 divisors (see below), whose sum is σ = 4558464000. Its totient is φ = 809086464.

The previous prime is 2024349989. The next prime is 2024350051. The reversal of 2024350040 is 400534202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2024349994 and 2024350021.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31376 + ... + 70944.

It is an arithmetic number, because the mean of its divisors is an integer number (142452000).

Almost surely, 22024350040 is an apocalyptic number.

2024350040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024350040 is an abundant number, since it is smaller than the sum of its proper divisors (2534113960).

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

2024350040 is a wasteful number, since it uses less digits than its factorization.

2024350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40859 (or 40855 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2024350040 is about 44992.7776426395. Note that the first 3 decimals coincide. The cubic root of 2024350040 is about 1265.0136260620.

Adding to 2024350040 its reverse (400534202), we get a palindrome (2424884242).

The spelling of 2024350040 in words is "two billion, twenty-four million, three hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1279 2558 5116 6395 10232 12790 25580 39569 51160 79138 158276 197845 316552 395690 791380 1582760 50608751 101217502 202435004 253043755 404870008 506087510 1012175020 2024350040