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334242432 = 2732290141
BaseRepresentation
bin10011111011000…
…010001010000000
3212021221021102100
4103323002022000
51141031224212
653055550400
711166004506
oct2373021200
9767837370
10334242432
11161742317
1293b2b400
1354329ab4
1432568676
151e524bdc
hex13ec2280

334242432 has 48 divisors (see below), whose sum is σ = 961820730. Its totient is φ = 111413760.

The previous prime is 334242407. The next prime is 334242449. The reversal of 334242432 is 234242433.

It can be written as a sum of positive squares in only one way, i.e., 306110016 + 28132416 = 17496^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3342424322 = 223436006698549248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 334242396 and 334242405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143919 + ... + 146222.

Almost surely, 2334242432 is an apocalyptic number.

334242432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

334242432 is an abundant number, since it is smaller than the sum of its proper divisors (627578298).

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

334242432 is a wasteful number, since it uses less digits than its factorization.

334242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290161 (or 290146 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 334242432 is about 18282.2983237885. The cubic root of 334242432 is about 693.9910359917.

Adding to 334242432 its reverse (234242433), we get a palindrome (568484865).

Subtracting from 334242432 its reverse (234242433), we obtain a palindrome (99999999).

The spelling of 334242432 in words is "three hundred thirty-four million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 290141 580282 870423 1160564 1740846 2321128 2611269 3481692 4642256 5222538 6963384 9284512 10445076 13926768 18569024 20890152 27853536 37138048 41780304 55707072 83560608 111414144 167121216 334242432