Search a number
-
+
329749404 = 223127216371
BaseRepresentation
bin10011101001111…
…001001110011100
3211222111000010220
4103221321032130
51133403440104
652415401340
711112552345
oct2351711634
9758430126
10329749404
1115a153676
1292523250
13534159ba
1431b190cc
151de387d9
hex13a7939c

329749404 has 24 divisors (see below), whose sum is σ = 775477248. Its totient is φ = 109050480.

The previous prime is 329749403. The next prime is 329749417. The reversal of 329749404 is 404947923.

329749404 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

329749404 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329749403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106662 + ... + 109709.

It is an arithmetic number, because the mean of its divisors is an integer number (32311552).

Almost surely, 2329749404 is an apocalyptic number.

It is an amenable number.

329749404 is an abundant number, since it is smaller than the sum of its proper divisors (445727844).

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

329749404 is a wasteful number, since it uses less digits than its factorization.

329749404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216505 (or 216503 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 329749404 is about 18159.0033867501. The cubic root of 329749404 is about 690.8673570464.

The spelling of 329749404 in words is "three hundred twenty-nine million, seven hundred forty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 12 127 254 381 508 762 1524 216371 432742 649113 865484 1298226 2596452 27479117 54958234 82437351 109916468 164874702 329749404