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314395326 = 232723157691
BaseRepresentation
bin10010101111010…
…100101010111110
3210220120221022100
4102233110222332
51120441122301
651110325530
710535213310
oct2257245276
9726527270
10314395326
11151516953
12893598a6
135019b14b
142da7d7b0
151c904286
hex12bd4abe

314395326 has 96 divisors (see below), whose sum is σ = 818707968. Its totient is φ = 85250880.

The previous prime is 314395309. The next prime is 314395379. The reversal of 314395326 is 623593413.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 454641 + ... + 455331.

It is an arithmetic number, because the mean of its divisors is an integer number (8528208).

Almost surely, 2314395326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314395326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409353984).

314395326 is an abundant number, since it is smaller than the sum of its proper divisors (504312642).

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

314395326 is a wasteful number, since it uses less digits than its factorization.

314395326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 883 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 314395326 is about 17731.1964063342. The cubic root of 314395326 is about 679.9735615442.

It can be divided in two parts, 314395 and 326, that added together give a square (314721 = 5612).

The spelling of 314395326 in words is "three hundred fourteen million, three hundred ninety-five thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 157 161 207 314 322 414 471 483 691 942 966 1099 1382 1413 1449 2073 2198 2826 2898 3297 3611 4146 4837 6219 6594 7222 9674 9891 10833 12438 14511 15893 19782 21666 25277 29022 31786 32499 43533 47679 50554 64998 75831 87066 95358 108487 111251 143037 151662 216974 222502 227493 286074 325461 333753 454986 650922 667506 759409 976383 1001259 1518818 1952766 2002518 2278227 2495201 4556454 4990402 6834681 7485603 13669362 14971206 17466407 22456809 34932814 44913618 52399221 104798442 157197663 314395326