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314300432 = 24191915413
BaseRepresentation
bin10010101110111…
…101100000010000
3210220102010010202
4102232331200100
51120430103212
651104314332
710534336535
oct2256754020
9726363122
10314300432
11151461626
12893129a8
1350166bb4
142da56d8c
151c8d60c2
hex12bbd810

314300432 has 40 divisors (see below), whose sum is σ = 644482560. Its totient is φ = 148072320.

The previous prime is 314300431. The next prime is 314300453. The reversal of 314300432 is 234003413.

It is not an unprimeable number, because it can be changed into a prime (314300431) 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 7 ways as a sum of consecutive naturals, for example, 55358 + ... + 60770.

It is an arithmetic number, because the mean of its divisors is an integer number (16112064).

Almost surely, 2314300432 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 314300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322241280).

314300432 is an abundant number, since it is smaller than the sum of its proper divisors (330182128).

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

314300432 is a wasteful number, since it uses less digits than its factorization.

314300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 314300432 is about 17728.5202992241. The cubic root of 314300432 is about 679.9051424777.

Adding to 314300432 its reverse (234003413), we get a palindrome (548303845).

The spelling of 314300432 in words is "three hundred fourteen million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 191 304 382 764 1528 3056 3629 5413 7258 10826 14516 21652 29032 43304 58064 86608 102847 205694 411388 822776 1033883 1645552 2067766 4135532 8271064 16542128 19643777 39287554 78575108 157150216 314300432