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314314028 = 2272831392
BaseRepresentation
bin10010101111000…
…000110100101100
3210220102210210022
4102233000310230
51120431022103
651104501312
710534424300
oct2257006454
9726383708
10314314028
11151470866
128931a838
1350170142
142da5bd00
151c8da138
hex12bc0d2c

314314028 has 54 divisors (see below), whose sum is σ = 652254876. Its totient is φ = 132125616.

The previous prime is 314314027. The next prime is 314314043. The reversal of 314314028 is 820413413.

It is a junction number, because it is equal to n+sod(n) for n = 314313988 and 314314006.

It is not an unprimeable number, because it can be changed into a prime (314314027) 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 17 ways as a sum of consecutive naturals, for example, 2261183 + ... + 2261321.

It is an arithmetic number, because the mean of its divisors is an integer number (12078794).

Almost surely, 2314314028 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 314314028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326127438).

314314028 is an abundant number, since it is smaller than the sum of its proper divisors (337940848).

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

314314028 is a wasteful number, since it uses less digits than its factorization.

314314028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 314314028 is about 17728.9037450148. The cubic root of 314314028 is about 679.9149461094.

It can be divided in two parts, 3143 and 14028, that added together give a palindrome (17171).

The spelling of 314314028 in words is "three hundred fourteen million, three hundred fourteen thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 49 83 98 139 166 196 278 332 556 581 973 1162 1946 2324 3892 4067 6811 8134 11537 13622 16268 19321 23074 27244 38642 46148 77284 80759 135247 161518 270494 323036 540988 565313 946729 1130626 1603643 1893458 2261252 3207286 3786916 6414572 11225501 22451002 44902004 78578507 157157014 314314028