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334042432 = 2623257883
BaseRepresentation
bin10011111010010…
…001010101000000
3212021120010001221
4103322101111000
51141003324212
653051404424
711164212433
oct2372212500
9767503057
10334042432
11161616029
1293a53714
1354289a59
143251581a
151e4d5807
hex13e91540

334042432 has 56 divisors (see below), whose sum is σ = 695163456. Its totient is φ = 158957568.

The previous prime is 334042399. The next prime is 334042441. The reversal of 334042432 is 234240433.

334042432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3340424322 = 223168692752949248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334042397 and 334042406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377863 + ... + 378745.

Almost surely, 2334042432 is an apocalyptic number.

334042432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347581728).

334042432 is an abundant number, since it is smaller than the sum of its proper divisors (361121024).

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

334042432 is a wasteful number, since it uses less digits than its factorization.

334042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 334042432 is about 18276.8277334990. The cubic root of 334042432 is about 693.8525876807.

Adding to 334042432 its reverse (234240433), we get a palindrome (568282865).

The spelling of 334042432 in words is "three hundred thirty-four million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 257 368 514 736 883 1028 1472 1766 2056 3532 4112 5911 7064 8224 11822 14128 16448 20309 23644 28256 40618 47288 56512 81236 94576 162472 189152 226931 324944 378304 453862 649888 907724 1299776 1815448 3630896 5219413 7261792 10438826 14523584 20877652 41755304 83510608 167021216 334042432