Search a number
-
+
314520354 = 23323733469
BaseRepresentation
bin10010101111110…
…011001100100010
3210220211021211000
4102233303030202
51121004122404
651113132430
710536243651
oct2257631442
9726737730
10314520354
111515a1885
12893ba116
1350213025
142dab3198
151c92b339
hex12bf3322

314520354 has 64 divisors (see below), whose sum is σ = 739526400. Its totient is φ = 98879616.

The previous prime is 314520343. The next prime is 314520359. The reversal of 314520354 is 453025413.

314520354 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3145203543 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (314520359) 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, 88932 + ... + 92400.

It is an arithmetic number, because the mean of its divisors is an integer number (11555100).

Almost surely, 2314520354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314520354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369763200).

314520354 is an abundant number, since it is smaller than the sum of its proper divisors (425006046).

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

314520354 is a wasteful number, since it uses less digits than its factorization.

314520354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 314520354 is about 17734.7217063026. The cubic root of 314520354 is about 680.0636863651.

Adding to 314520354 its reverse (453025413), we get a palindrome (767545767).

The spelling of 314520354 in words is "three hundred fourteen million, five hundred twenty thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 73 138 146 207 219 414 438 621 657 1242 1314 1679 1971 3358 3469 3942 5037 6938 10074 10407 15111 20814 30222 31221 45333 62442 79787 90666 93663 159574 187326 239361 253237 478722 506474 718083 759711 1436166 1519422 2154249 2279133 4308498 4558266 5824451 6837399 11648902 13674798 17473353 34946706 52420059 104840118 157260177 314520354