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2433414340 = 2257171022443
BaseRepresentation
bin1001000100001010…
…1111010011000100
320021120220020221001
42101002233103010
514440423224330
61041244303044
7114205452310
oct22102572304
96246806831
102433414340
111039665235
1257ab41a84
132ca1b7a56
1419127ab40
15e39769ca
hex910af4c4

2433414340 has 48 divisors (see below), whose sum is σ = 6183741312. Its totient is φ = 785235456.

The previous prime is 2433414301. The next prime is 2433414383. The reversal of 2433414340 is 434143342.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2433414299 and 2433414308.

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 15 ways as a sum of consecutive naturals, for example, 508842 + ... + 513601.

It is an arithmetic number, because the mean of its divisors is an integer number (128827944).

Almost surely, 22433414340 is an apocalyptic number.

2433414340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2433414340 is an abundant number, since it is smaller than the sum of its proper divisors (3750326972).

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

2433414340 is a wasteful number, since it uses less digits than its factorization.

2433414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022476 (or 1022474 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 2433414340 is about 49329.6497048175. The cubic root of 2433414340 is about 1345.0508016908.

Adding to 2433414340 its reverse (434143342), we get a palindrome (2867557682).

The spelling of 2433414340 in words is "two billion, four hundred thirty-three million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 1022443 2044886 4089772 5112215 7157101 10224430 14314202 17381531 20448860 28628404 34763062 35785505 69526124 71571010 86907655 121670717 143142020 173815310 243341434 347630620 486682868 608353585 1216707170 2433414340