Search a number
-
+
145574304 = 2536124859
BaseRepresentation
bin10001010110101…
…00100110100000
3101010220221101220
420223110212200
5244231334204
622240055040
73415234611
oct1053244640
9333827356
10145574304
117519a147
1240904480
132420c655
1415495c08
15cba81d9
hex8ad49a0

145574304 has 48 divisors (see below), whose sum is σ = 388412640. Its totient is φ = 47727360.

The previous prime is 145574269. The next prime is 145574311. The reversal of 145574304 is 403475541.

145574304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 7 ways as a sum of consecutive naturals, for example, 6574 + ... + 18285.

It is an arithmetic number, because the mean of its divisors is an integer number (8091930).

Almost surely, 2145574304 is an apocalyptic number.

It is an amenable number.

145574304 is an abundant number, since it is smaller than the sum of its proper divisors (242838336).

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

145574304 is a wasteful number, since it uses less digits than its factorization.

145574304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24933 (or 24925 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 145574304 is about 12065.4176885842. The cubic root of 145574304 is about 526.0514727443.

The spelling of 145574304 in words is "one hundred forty-five million, five hundred seventy-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 24859 49718 74577 99436 149154 198872 298308 397744 596616 795488 1193232 1516399 2386464 3032798 4549197 6065596 9098394 12131192 18196788 24262384 36393576 48524768 72787152 145574304