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314120982 = 237232911213
BaseRepresentation
bin10010101110010…
…001101100010110
3210220001222222110
4102232101230112
51120403332412
651100411450
710532661420
oct2256215426
9726058873
10314120982
1115134981a
1289246b86
1350103306
142da0b810
151c89cd3c
hex12b91b16

314120982 has 64 divisors (see below), whose sum is σ = 775111680. Its totient is φ = 82879104.

The previous prime is 314120981. The next prime is 314121007. The reversal of 314120982 is 289021413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314120981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22408 + ... + 33620.

It is an arithmetic number, because the mean of its divisors is an integer number (12111120).

Almost surely, 2314120982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314120982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387555840).

314120982 is an abundant number, since it is smaller than the sum of its proper divisors (460990698).

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

314120982 is a wasteful number, since it uses less digits than its factorization.

314120982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11277.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 314120982 is about 17723.4585225345. The cubic root of 314120982 is about 679.7757204416.

The spelling of 314120982 in words is "three hundred fourteen million, one hundred twenty thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 58 69 87 138 161 174 203 322 406 483 609 667 966 1218 1334 2001 4002 4669 9338 11213 14007 22426 28014 33639 67278 78491 156982 235473 257899 325177 470946 515798 650354 773697 975531 1547394 1805293 1951062 2276239 3610586 4552478 5415879 6828717 7479071 10831758 13657434 14958142 22437213 44874426 52353497 104706994 157060491 314120982