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34432000304 = 2413421393203
BaseRepresentation
bin100000000100010011…
…101010000100110000
310021212121212211211112
4200010103222010300
51031004043002204
623452353132452
72326154113352
oct400423520460
9107777784745
1034432000304
1113669a6a4a9
12680b25a128
1333296506a0
141948cd30d2
15d67c8426e
hex8044ea130

34432000304 has 40 divisors (see below), whose sum is σ = 72014526192. Its totient is φ = 15853904640.

The previous prime is 34432000303. The next prime is 34432000327. The reversal of 34432000304 is 40300023443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34432000304.

It is not an unprimeable number, because it can be changed into a prime (34432000303) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 109034 + ... + 284169.

Almost surely, 234432000304 is an apocalyptic number.

It is an amenable number.

34432000304 is an abundant number, since it is smaller than the sum of its proper divisors (37582525888).

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

34432000304 is a wasteful number, since it uses less digits than its factorization.

34432000304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393645 (or 393639 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 34432000304 its reverse (40300023443), we get a palindrome (74732023747).

The spelling of 34432000304 in words is "thirty-four billion, four hundred thirty-two million, three hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 104 208 421 842 1684 3368 5473 6736 10946 21892 43784 87568 393203 786406 1572812 3145624 5111639 6291248 10223278 20446556 40893112 81786224 165538463 331076926 662153852 1324307704 2152000019 2648615408 4304000038 8608000076 17216000152 34432000304