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314429094 = 23373126833
BaseRepresentation
bin10010101111011…
…100111010100110
3210220122122122000
4102233130322212
51120443212334
651111150130
710535413620
oct2257347246
9726578560
10314429094
1115153a261
1289375346
13501b0625
142da8bc10
151c90e299
hex12bdcea6

314429094 has 64 divisors (see below), whose sum is σ = 824340480. Its totient is φ = 86935680.

The previous prime is 314429077. The next prime is 314429153. The reversal of 314429094 is 490924413.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1699 + ... + 25134.

It is an arithmetic number, because the mean of its divisors is an integer number (12880320).

Almost surely, 2314429094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314429094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412170240).

314429094 is an abundant number, since it is smaller than the sum of its proper divisors (509911386).

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

314429094 is a wasteful number, since it uses less digits than its factorization.

314429094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26882 (or 26876 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 314429094 is about 17732.1486007759. The cubic root of 314429094 is about 679.9979051262.

The spelling of 314429094 in words is "three hundred fourteen million, four hundred twenty-nine thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11718 26833 53666 80499 160998 187831 241497 375662 482994 563493 724491 831823 1126986 1448982 1663646 1690479 2495469 3380958 4990938 5071437 5822761 7486407 10142874 11645522 14972814 17468283 22459221 34936566 44918442 52404849 104809698 157214547 314429094