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334384100 = 225216720023
BaseRepresentation
bin10011111011100…
…100101111100100
3212022012110202022
4103323210233210
51141100242400
653103002312
711200134521
oct2373445744
9768173668
10334384100
111618297a6
1293b99398
135437941b
14325a4148
151e551b85
hex13ee4be4

334384100 has 36 divisors (see below), whose sum is σ = 729994944. Its totient is φ = 132946080.

The previous prime is 334384087. The next prime is 334384103. The reversal of 334384100 is 1483433.

It is a super-2 number, since 2×3343841002 = 223625452665620000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334384100.

It is not an unprimeable number, because it can be changed into a prime (334384103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6689 + ... + 26711.

Almost surely, 2334384100 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 334384100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364997472).

334384100 is an abundant number, since it is smaller than the sum of its proper divisors (395610844).

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

334384100 is a wasteful number, since it uses less digits than its factorization.

334384100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20204 (or 20197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 334384100 is about 18286.1723714943. The cubic root of 334384100 is about 694.0890710560.

The spelling of 334384100 in words is "three hundred thirty-four million, three hundred eighty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 668 835 1670 3340 4175 8350 16700 20023 40046 80092 100115 200230 400460 500575 1001150 2002300 3343841 6687682 13375364 16719205 33438410 66876820 83596025 167192050 334384100