Search a number
-
+
293996316 = 223291575381
BaseRepresentation
bin10001100001100…
…000011100011100
3202111012120010110
4101201200130130
51100230340231
645101210020
710166633055
oct2141403434
9674176113
10293996316
11140a53869
1282560910
1348ba8223
142b08d72c
151ac25046
hex1186071c

293996316 has 48 divisors (see below), whose sum is σ = 714299040. Its totient is φ = 93999360.

The previous prime is 293996279. The next prime is 293996333. The reversal of 293996316 is 613699392.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51946 + ... + 57326.

It is an arithmetic number, because the mean of its divisors is an integer number (14881230).

Almost surely, 2293996316 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 293996316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357149520).

293996316 is an abundant number, since it is smaller than the sum of its proper divisors (420302724).

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

293996316 is a wasteful number, since it uses less digits than its factorization.

293996316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5572 counting only the distinct ones).

The product of its digits is 472392, while the sum is 48.

The square root of 293996316 is about 17146.3207715241. The cubic root of 293996316 is about 664.9371987352.

The spelling of 293996316 in words is "two hundred ninety-three million, nine hundred ninety-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 116 157 174 314 348 471 628 942 1884 4553 5381 9106 10762 13659 16143 18212 21524 27318 32286 54636 64572 156049 312098 468147 624196 844817 936294 1689634 1872588 2534451 3379268 5068902 10137804 24499693 48999386 73499079 97998772 146998158 293996316