Search a number
-
+
334754420 = 2257111323727
BaseRepresentation
bin10011111100111…
…111001001110100
3212022220021201212
4103330333021310
51141144120140
653114540552
711203236260
oct2374771164
9768807655
10334754420
11161a61a50
1294137758
1354478b50
143265d0a0
151e5c6765
hex13f3f274

334754420 has 192 divisors, whose sum is σ = 986259456. Its totient is φ = 91998720.

The previous prime is 334754401. The next prime is 334754423. The reversal of 334754420 is 24457433.

It is a super-2 number, since 2×3347544202 = 224121043419072800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334754423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460097 + ... + 460823.

It is an arithmetic number, because the mean of its divisors is an integer number (5136768).

Almost surely, 2334754420 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 334754420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493129728).

334754420 is an abundant number, since it is smaller than the sum of its proper divisors (651505036).

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

334754420 is a wasteful number, since it uses less digits than its factorization.

334754420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 334754420 is about 18296.2952534113. The cubic root of 334754420 is about 694.3452038855.

The spelling of 334754420 in words is "three hundred thirty-four million, seven hundred fifty-four thousand, four hundred twenty".