Search a number
-
+
334503220 = 225175711723
BaseRepresentation
bin10011111100000…
…001110100110100
3212022102112011011
4103330001310310
51141113100340
653105322004
711201142022
oct2374016464
9768375134
10334503220
11161900247
1294036304
13543bb6cc
14325d5712
151e5770ea
hex13f01d34

334503220 has 48 divisors (see below), whose sum is σ = 745512768. Its totient is φ = 125637120.

The previous prime is 334503179. The next prime is 334503229. The reversal of 334503220 is 22305433.

It is a super-2 number, since 2×3345032202 = 223784808380736800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334503191 and 334503200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334503229) 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, 193279 + ... + 195001.

It is an arithmetic number, because the mean of its divisors is an integer number (15531516).

Almost surely, 2334503220 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 334503220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372756384).

334503220 is an abundant number, since it is smaller than the sum of its proper divisors (411009548).

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

334503220 is a wasteful number, since it uses less digits than its factorization.

334503220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 334503220 is about 18289.4291873749. The cubic root of 334503220 is about 694.1714813483.

Adding to 334503220 its reverse (22305433), we get a palindrome (356808653).

The spelling of 334503220 in words is "three hundred thirty-four million, five hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 571 1142 1723 2284 2855 3446 5710 6892 8615 9707 11420 17230 19414 29291 34460 38828 48535 58582 97070 117164 146455 194140 292910 585820 983833 1967666 3935332 4919165 9838330 16725161 19676660 33450322 66900644 83625805 167251610 334503220