Search a number
-
+
334150336 = 26132231801
BaseRepresentation
bin10011111010101…
…011101011000000
3212021202121002101
4103322223223000
51141020302321
653054000144
711165142142
oct2372535300
9767677071
10334150336
1116168a103
1293aa6054
13542c6bc0
1432542c92
151e507791
hex13eabac0

334150336 has 56 divisors (see below), whose sum is σ = 717686144. Its totient is φ = 153446400.

The previous prime is 334150331. The next prime is 334150387. The reversal of 334150336 is 633051433.

It is a super-2 number, since 2×3341503362 = 223312894097825792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334150331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184636 + ... + 186436.

It is an arithmetic number, because the mean of its divisors is an integer number (12815824).

Almost surely, 2334150336 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 334150336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358843072).

334150336 is an abundant number, since it is smaller than the sum of its proper divisors (383535808).

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

334150336 is a wasteful number, since it uses less digits than its factorization.

334150336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

The square root of 334150336 is about 18279.7794297415. The cubic root of 334150336 is about 693.9272901759.

The spelling of 334150336 in words is "three hundred thirty-four million, one hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 223 416 446 832 892 1784 1801 2899 3568 3602 5798 7136 7204 11596 14272 14408 23192 23413 28816 46384 46826 57632 92768 93652 115264 185536 187304 374608 401623 749216 803246 1498432 1606492 3212984 5221099 6425968 10442198 12851936 20884396 25703872 41768792 83537584 167075168 334150336