Search a number
-
+
314124534 = 23341532677
BaseRepresentation
bin10010101110010…
…010100011110110
3210220002011212000
4102232102203312
51120403441114
651100440130
710533004653
oct2256224366
9726064760
10314124534
11151351459
1289249046
1350104b09
142da0cc2a
151c89de09
hex12b928f6

314124534 has 64 divisors (see below), whose sum is σ = 728844480. Its totient is φ = 100189440.

The previous prime is 314124523. The next prime is 314124583. The reversal of 314124534 is 435421413.

It is a happy number.

314124534 is a `hidden beast` number, since 3 + 1 + 4 + 124 + 534 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 314124498 and 314124507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116004 + ... + 118680.

It is an arithmetic number, because the mean of its divisors is an integer number (11388195).

Almost surely, 2314124534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314124534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364422240).

314124534 is an abundant number, since it is smaller than the sum of its proper divisors (414719946).

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

314124534 is a wasteful number, since it uses less digits than its factorization.

314124534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2776 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 314124534 is about 17723.5587284270. The cubic root of 314124534 is about 679.7782826755.

Adding to 314124534 its reverse (435421413), we get a palindrome (749545947).

The spelling of 314124534 in words is "three hundred fourteen million, one hundred twenty-four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 53 54 82 106 123 159 246 318 369 477 738 954 1107 1431 2173 2214 2677 2862 4346 5354 6519 8031 13038 16062 19557 24093 39114 48186 58671 72279 109757 117342 141881 144558 219514 283762 329271 425643 658542 851286 987813 1276929 1975626 2553858 2963439 3830787 5817121 5926878 7661574 11634242 17451363 34902726 52354089 104708178 157062267 314124534