Search a number
-
+
314429552 = 241737157199
BaseRepresentation
bin10010101111011…
…101000001110000
3210220122200020222
4102233131001300
51120443221202
651111152212
710535415143
oct2257350160
9726580228
10314429552
1115153a638
1289375668
13501b08b8
142da8c05a
151c90e4a2
hex12bdd070

314429552 has 80 divisors (see below), whose sum is σ = 670046400. Its totient is φ = 142331904.

The previous prime is 314429551. The next prime is 314429579. The reversal of 314429552 is 255924413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314429551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1579949 + ... + 1580147.

It is an arithmetic number, because the mean of its divisors is an integer number (8375580).

Almost surely, 2314429552 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 314429552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335023200).

314429552 is an abundant number, since it is smaller than the sum of its proper divisors (355616848).

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

314429552 is a wasteful number, since it uses less digits than its factorization.

314429552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 314429552 is about 17732.1615151679. The cubic root of 314429552 is about 679.9982352895.

The spelling of 314429552 in words is "three hundred fourteen million, four hundred twenty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 157 199 272 296 314 398 592 628 629 796 1256 1258 1592 2512 2516 2669 3184 3383 5032 5338 5809 6766 7363 10064 10676 11618 13532 14726 21352 23236 27064 29452 31243 42704 46472 54128 58904 62486 92944 98753 117808 124972 125171 197506 249944 250342 395012 499888 500684 531131 790024 1001368 1062262 1155991 1580048 2002736 2124524 2311982 4249048 4623964 8498096 9247928 18495856 19651847 39303694 78607388 157214776 314429552