Search a number
-
+
304129408 = 2711613541
BaseRepresentation
bin10010001000001…
…010010110000000
3210012021101010011
4102020022112000
51110324120113
650102314304
710352025442
oct2210122600
9705241104
10304129408
11146744a20
1285a28994
134b01553b
142c56a492
151ba7763d
hex1220a580

304129408 has 64 divisors (see below), whose sum is σ = 671988240. Its totient is φ = 135936000.

The previous prime is 304129361. The next prime is 304129429. The reversal of 304129408 is 804921403.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 304129408.

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, 84118 + ... + 87658.

Almost surely, 2304129408 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 304129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335994120).

304129408 is an abundant number, since it is smaller than the sum of its proper divisors (367858832).

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

304129408 is a wasteful number, since it uses less digits than its factorization.

304129408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 304129408 is about 17439.3064082262. The cubic root of 304129408 is about 672.4904771480.

The spelling of 304129408 in words is "three hundred four million, one hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 352 488 671 704 976 1342 1408 1952 2684 3541 3904 5368 7082 7808 10736 14164 21472 28328 38951 42944 56656 77902 85888 113312 155804 216001 226624 311608 432002 453248 623216 864004 1246432 1728008 2376011 2492864 3456016 4752022 4985728 6912032 9504044 13824064 19008088 27648128 38016176 76032352 152064704 304129408