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334421400 = 23352557369
BaseRepresentation
bin10011111011101…
…101110110011000
3212022021100220210
4103323231312120
51141102441100
653103451120
711200351335
oct2373556630
9768240823
10334421400
11161854825
1293bb6aa0
13543903b1
14325b398c
151e55cc50
hex13eedd98

334421400 has 48 divisors (see below), whose sum is σ = 1036708200. Its totient is φ = 89178880.

The previous prime is 334421393. The next prime is 334421443. The reversal of 334421400 is 4124433.

It is a super-3 number, since 3×3344214003 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278085 + ... + 279284.

Almost surely, 2334421400 is an apocalyptic number.

334421400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334421400 is an abundant number, since it is smaller than the sum of its proper divisors (702286800).

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

334421400 is a wasteful number, since it uses less digits than its factorization.

334421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557388 (or 557379 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 334421400 is about 18287.1922393789. The cubic root of 334421400 is about 694.1148782637.

Adding to 334421400 its reverse (4124433), we get a palindrome (338545833).

The spelling of 334421400 in words is "three hundred thirty-four million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 557369 1114738 1672107 2229476 2786845 3344214 4458952 5573690 6688428 8360535 11147380 13376856 13934225 16721070 22294760 27868450 33442140 41802675 55736900 66884280 83605350 111473800 167210700 334421400