[go: up one dir, main page]

Search a number
-
+
334018560 = 2113583131
BaseRepresentation
bin10011111010001…
…011100000000000
3212021111220022210
4103322023200000
51141002043220
653051102120
711164053021
oct2372134000
9767456283
10334018560
111615aa0a7
1293a41940
135427bc25
143250ac48
151e4cd6e0
hex13e8b800

334018560 has 192 divisors, whose sum is σ = 1089728640. Its totient is φ = 87326720.

The previous prime is 334018547. The next prime is 334018609. The reversal of 334018560 is 65810433.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3340185602 = 223136796848947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2549695 + ... + 2549825.

It is an arithmetic number, because the mean of its divisors is an integer number (5675670).

Almost surely, 2334018560 is an apocalyptic number.

334018560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544864320).

334018560 is an abundant number, since it is smaller than the sum of its proper divisors (755710080).

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

334018560 is a wasteful number, since it uses less digits than its factorization.

334018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 334018560 is about 18276.1746544511. The cubic root of 334018560 is about 693.8360587990.

Adding to 334018560 its reverse (65810433), we get a palindrome (399828993).

The spelling of 334018560 in words is "three hundred thirty-four million, eighteen thousand, five hundred sixty".