Search a number
-
+
334150404 = 223723715359
BaseRepresentation
bin10011111010101…
…011101100000100
3212021202121011220
4103322223230010
51141020303104
653054000340
711165142300
oct2372535404
9767677156
10334150404
1116168a165
1293aa60b0
13542c6c43
1432542d00
151e5077d9
hex13eabb04

334150404 has 72 divisors (see below), whose sum is σ = 931553280. Its totient is φ = 92885184.

The previous prime is 334150403. The next prime is 334150409. The reversal of 334150404 is 404051433.

It is a super-2 number, since 2×3341504042 = 223312984986726432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334150403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14077 + ... + 29435.

It is an arithmetic number, because the mean of its divisors is an integer number (12938240).

Almost surely, 2334150404 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 334150404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465776640).

334150404 is an abundant number, since it is smaller than the sum of its proper divisors (597402876).

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

334150404 is a wasteful number, since it uses less digits than its factorization.

334150404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15417 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 334150404 is about 18279.7812897201. The cubic root of 334150404 is about 693.9273372475.

The spelling of 334150404 in words is "three hundred thirty-four million, one hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1813 3108 3626 5439 7252 10878 15359 21756 30718 46077 61436 92154 107513 184308 215026 322539 430052 568283 645078 752591 1136566 1290156 1505182 1704849 2257773 2273132 3010364 3409698 3977981 4515546 6819396 7955962 9031092 11933943 15911924 23867886 27845867 47735772 55691734 83537601 111383468 167075202 334150404