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314730 = 232513269
BaseRepresentation
bin1001100110101101010
3120222201200
41030311222
540032410
610425030
72450403
oct1146552
9528650
10314730
111a5509
12132176
13b0340
14829aa
15633c0
hex4cd6a

314730 has 48 divisors (see below), whose sum is σ = 884520. Its totient is φ = 77184.

The previous prime is 314723. The next prime is 314747. The reversal of 314730 is 37413.

It can be written as a sum of positive squares in 4 ways, for example, as 114921 + 199809 = 339^2 + 447^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314730.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036 + ... + 1304.

2314730 is an apocalyptic number.

314730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442260).

314730 is an abundant number, since it is smaller than the sum of its proper divisors (569790).

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

314730 is a wasteful number, since it uses less digits than its factorization.

314730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 314730 is about 561.0080213330. The cubic root of 314730 is about 68.0214753393.

It can be divided in two parts, 31 and 4730, that added together give a square (4761 = 692).

The spelling of 314730 in words is "three hundred fourteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 269 390 538 585 807 1170 1345 1614 2421 2690 3497 4035 4842 6994 8070 10491 12105 17485 20982 24210 31473 34970 52455 62946 104910 157365 314730