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314044420 = 2254129341
BaseRepresentation
bin10010101101111…
…111000000000100
3210212221002221211
4102231333000010
51120343410140
651055021204
710532222254
oct2255770004
9725832854
10314044420
111512a7248
128920a804
13500a7501
142d9cb964
151c8852ea
hex12b7f004

314044420 has 36 divisors (see below), whose sum is σ = 676043172. Its totient is φ = 122540800.

The previous prime is 314044411. The next prime is 314044427. The reversal of 314044420 is 24440413.

It can be written as a sum of positive squares in 6 ways, for example, as 142277184 + 171767236 = 11928^2 + 13106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 314044391 and 314044400.

It is not an unprimeable number, because it can be changed into a prime (314044427) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28950 + ... + 38290.

It is an arithmetic number, because the mean of its divisors is an integer number (18778977).

Almost surely, 2314044420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338021586).

314044420 is an abundant number, since it is smaller than the sum of its proper divisors (361998752).

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

314044420 is a wasteful number, since it uses less digits than its factorization.

314044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432 (or 9389 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 314044420 is about 17721.2984851562. The cubic root of 314044420 is about 679.7204877758.

Adding to 314044420 its reverse (24440413), we get a palindrome (338484833).

The spelling of 314044420 in words is "three hundred fourteen million, forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1681 3362 6724 8405 9341 16810 18682 33620 37364 46705 93410 186820 382981 765962 1531924 1914905 3829810 7659620 15702221 31404442 62808884 78511105 157022210 314044420