Search a number
-
+
305250304 = 21431601
BaseRepresentation
bin10010001100011…
…100000000000000
3210021101022200211
4102030130000000
51111121002204
650142323504
710364404402
oct2214340000
9707338624
10305250304
11147340087
1286289594
134b3187a8
142c77cb72
151bbe9804
hex1231c000

305250304 has 60 divisors (see below), whose sum is σ = 631223488. Its totient is φ = 147456000.

The previous prime is 305250293. The next prime is 305250307. The reversal of 305250304 is 403052503.

305250304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305250307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 507604 + ... + 508204.

Almost surely, 2305250304 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 305250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315611744).

305250304 is an abundant number, since it is smaller than the sum of its proper divisors (325973184).

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

305250304 is an frugal number, since it uses more digits than its factorization.

305250304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 305250304 is about 17471.4139095838. The cubic root of 305250304 is about 673.3156387425.

The spelling of 305250304 in words is "three hundred five million, two hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 601 992 1024 1202 1984 2048 2404 3968 4096 4808 7936 8192 9616 15872 16384 18631 19232 31744 37262 38464 63488 74524 76928 126976 149048 153856 253952 298096 307712 507904 596192 615424 1192384 1230848 2384768 2461696 4769536 4923392 9539072 9846784 19078144 38156288 76312576 152625152 305250304