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2434401020 = 225177160003
BaseRepresentation
bin1001000100011010…
…0000001011111100
320021122202101101202
42101012200023330
514441201313040
61041321355032
7114220032032
oct22106401374
96248671352
102434401020
11103a179577
1257b338a78
132ca471b9c
14191456552
15e3abe015
hex911a02fc

2434401020 has 24 divisors (see below), whose sum is σ = 5412963024. Its totient is φ = 916480256.

The previous prime is 2434401019. The next prime is 2434401041. The reversal of 2434401020 is 201044342.

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 = 2434400983 and 2434401001.

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, 3579662 + ... + 3580341.

It is an arithmetic number, because the mean of its divisors is an integer number (225540126).

Almost surely, 22434401020 is an apocalyptic number.

2434401020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434401020 is an abundant number, since it is smaller than the sum of its proper divisors (2978562004).

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

2434401020 is a wasteful number, since it uses less digits than its factorization.

2434401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160029 (or 7160027 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2434401020 is about 49339.6495731374. The cubic root of 2434401020 is about 1345.2325703511.

Adding to 2434401020 its reverse (201044342), we get a palindrome (2635445362).

The spelling of 2434401020 in words is "two billion, four hundred thirty-four million, four hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 7160003 14320006 28640012 35800015 71600030 121720051 143200060 243440102 486880204 608600255 1217200510 2434401020