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314420190 = 23573074877
BaseRepresentation
bin10010101111011…
…010101111011110
3210220122012102020
4102233122233132
51120442421230
651111041010
710535345640
oct2257325736
9726565366
10314420190
111515335a7
1289370166
13501a9566
142da88890
151c90b810
hex12bdabde

314420190 has 64 divisors (see below), whose sum is σ = 865396224. Its totient is φ = 71618688.

The previous prime is 314420149. The next prime is 314420269. The reversal of 314420190 is 91024413.

It is a super-2 number, since 2×3144201902 = 197720111759272200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314420190.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62032 + ... + 66908.

It is an arithmetic number, because the mean of its divisors is an integer number (13521816).

Almost surely, 2314420190 is an apocalyptic number.

314420190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314420190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432698112).

314420190 is an abundant number, since it is smaller than the sum of its proper divisors (550976034).

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

314420190 is a wasteful number, since it uses less digits than its factorization.

314420190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 314420190 is about 17731.8975295934. The cubic root of 314420190 is about 679.9914863409.

The spelling of 314420190 in words is "three hundred fourteen million, four hundred twenty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 307 614 921 1535 1842 2149 3070 4298 4605 4877 6447 9210 9754 10745 12894 14631 21490 24385 29262 32235 34139 48770 64470 68278 73155 102417 146310 170695 204834 341390 512085 1024170 1497239 2994478 4491717 7486195 8983434 10480673 14972390 20961346 22458585 31442019 44917170 52403365 62884038 104806730 157210095 314420190