Search a number
-
+
334161632 = 25713710889
BaseRepresentation
bin10011111010101…
…110011011100000
3212021210011120202
4103322232123200
51141021133012
653054124332
711165220110
oct2372563340
9767704522
10334161632
11161697642
1293ab06a8
13542cc09c
1432547040
151e50acc2
hex13eae6e0

334161632 has 48 divisors (see below), whose sum is σ = 757421280. Its totient is φ = 142153728.

The previous prime is 334161623. The next prime is 334161671. The reversal of 334161632 is 236161433.

It is a super-2 number, since 2×3341616322 = 223327992601806848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334161595 and 334161604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25244 + ... + 36132.

It is an arithmetic number, because the mean of its divisors is an integer number (15779610).

Almost surely, 2334161632 is an apocalyptic number.

334161632 is a gapful number since it is divisible by the number (32) 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 334161632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378710640).

334161632 is an abundant number, since it is smaller than the sum of its proper divisors (423259648).

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

334161632 is a wasteful number, since it uses less digits than its factorization.

334161632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11043 (or 11035 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

The square root of 334161632 is about 18280.0884024121. The cubic root of 334161632 is about 693.9351095249.

The spelling of 334161632 in words is "three hundred thirty-four million, one hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 1096 1918 2192 3836 4384 7672 10889 15344 21778 30688 43556 76223 87112 152446 174224 304892 348448 609784 1219568 1491793 2439136 2983586 5967172 10442551 11934344 20885102 23868688 41770204 47737376 83540408 167080816 334161632