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714384 = 243211241
BaseRepresentation
bin10101110011010010000
31100021221200
42232122100
5140330014
623151200
76033516
oct2563220
91307850
10714384
11448800
122a5500
131c0218
141484b6
15e1a09
hexae690

714384 has 90 divisors (see below), whose sum is σ = 2251158. Its totient is φ = 211200.

The previous prime is 714377. The next prime is 714443. The reversal of 714384 is 483417.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 278784 = 660^2 + 528^2 .

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

714384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17404 + ... + 17444.

2714384 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 714384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125579).

714384 is an abundant number, since it is smaller than the sum of its proper divisors (1536774).

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

714384 is a wasteful number, since it uses less digits than its factorization.

714384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 714384 is about 845.2123993411. The cubic root of 714384 is about 89.3944533592.

It can be divided in two parts, 7143 and 84, that added together give a palindrome (7227).

The spelling of 714384 in words is "seven hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 41 44 48 66 72 82 88 99 121 123 132 144 164 176 198 242 246 264 328 363 369 396 451 484 492 528 656 726 738 792 902 968 984 1089 1353 1452 1476 1584 1804 1936 1968 2178 2706 2904 2952 3608 4059 4356 4961 5412 5808 5904 7216 8118 8712 9922 10824 14883 16236 17424 19844 21648 29766 32472 39688 44649 59532 64944 79376 89298 119064 178596 238128 357192 714384