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314061496 = 237311311381
BaseRepresentation
bin10010101110000…
…011001010111000
3210212221222101021
4102232003022320
51120344431441
651055232224
710532323120
oct2256031270
9725858337
10314061496
11151309061
1289218674
13500b2208
142d9d3c80
151c88a3d1
hex12b832b8

314061496 has 64 divisors (see below), whose sum is σ = 700508160. Its totient is φ = 129168000.

The previous prime is 314061493. The next prime is 314061497. The reversal of 314061496 is 694160413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314061493) 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 15 ways as a sum of consecutive naturals, for example, 226726 + ... + 228106.

It is an arithmetic number, because the mean of its divisors is an integer number (10945440).

Almost surely, 2314061496 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 314061496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350254080).

314061496 is an abundant number, since it is smaller than the sum of its proper divisors (386446664).

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

314061496 is a wasteful number, since it uses less digits than its factorization.

314061496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 314061496 is about 17721.7802717447. The cubic root of 314061496 is about 679.7328073671.

The spelling of 314061496 in words is "three hundred fourteen million, sixty-one thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 131 217 248 262 434 524 868 917 1048 1381 1736 1834 2762 3668 4061 5524 7336 8122 9667 11048 16244 19334 28427 32488 38668 42811 56854 77336 85622 113708 171244 180911 227416 299677 342488 361822 599354 723644 1198708 1266377 1447288 2397416 2532754 5065508 5608241 10131016 11216482 22432964 39257687 44865928 78515374 157030748 314061496