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334430120 = 235172321383
BaseRepresentation
bin10011111011101…
…111111110101000
3212022021210212202
4103323233332220
51141103230440
653103555332
711200415633
oct2373577650
9768253782
10334430120
11161860332
1293bbbb48
135439435b
14325b6c1a
151e560615
hex13eeffa8

334430120 has 64 divisors (see below), whose sum is σ = 831409920. Its totient is φ = 120423424.

The previous prime is 334430081. The next prime is 334430123. The reversal of 334430120 is 21034433.

It is a super-2 number, since 2×3344301202 = 223687010326428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 334430092 and 334430101.

It is not an unprimeable number, because it can be changed into a prime (334430123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4949 + ... + 26331.

It is an arithmetic number, because the mean of its divisors is an integer number (12990780).

Almost surely, 2334430120 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 334430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415704960).

334430120 is an abundant number, since it is smaller than the sum of its proper divisors (496979800).

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

334430120 is a wasteful number, since it uses less digits than its factorization.

334430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21434 (or 21430 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 334430120 is about 18287.4306560544. The cubic root of 334430120 is about 694.1209112002.

Adding to 334430120 its reverse (21034433), we get a palindrome (355464553).

The spelling of 334430120 in words is "three hundred thirty-four million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 3128 3910 7820 15640 21383 42766 85532 106915 171064 213830 363511 427660 491809 727022 855320 983618 1454044 1817555 1967236 2459045 2908088 3635110 3934472 4918090 7270220 8360753 9836180 14540440 16721506 19672360 33443012 41803765 66886024 83607530 167215060 334430120