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234555440 = 2457418849
BaseRepresentation
bin11011111101100…
…00100000110000
3121100100122120112
431332300200300
5440021233230
635135200452
75545455050
oct1576604060
9540318515
10234555440
11110444a79
1266676128
1339795902
1423219560
15158d2d95
hexdfb0830

234555440 has 40 divisors (see below), whose sum is σ = 623248800. Its totient is φ = 80418816.

The previous prime is 234555421. The next prime is 234555467. The reversal of 234555440 is 44555432.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 234555397 and 234555406.

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, 208865 + ... + 209984.

It is an arithmetic number, because the mean of its divisors is an integer number (15581220).

Almost surely, 2234555440 is an apocalyptic number.

234555440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234555440 is an abundant number, since it is smaller than the sum of its proper divisors (388693360).

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

234555440 is a wasteful number, since it uses less digits than its factorization.

234555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418869 (or 418863 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The square root of 234555440 is about 15315.2029043039. The cubic root of 234555440 is about 616.7112013937.

The spelling of 234555440 in words is "two hundred thirty-four million, five hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 418849 837698 1675396 2094245 2931943 3350792 4188490 5863886 6701584 8376980 11727772 14659715 16753960 23455544 29319430 33507920 46911088 58638860 117277720 234555440