Search a number
-
+
74031264 = 2532257053
BaseRepresentation
bin1000110100110…
…10000010100000
312011022011210200
410122122002200
5122423000024
611202425200
71556153406
oct432320240
9164264720
1074031264
113887486a
1220962200
13124506a8
149b91476
1567752c9
hex469a0a0

74031264 has 36 divisors (see below), whose sum is σ = 210527226. Its totient is φ = 24676992.

The previous prime is 74031259. The next prime is 74031289. The reversal of 74031264 is 46213047.

It can be written as a sum of positive squares in only one way, i.e., 37307664 + 36723600 = 6108^2 + 6060^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128239 + ... + 128814.

Almost surely, 274031264 is an apocalyptic number.

It is an amenable number.

74031264 is an abundant number, since it is smaller than the sum of its proper divisors (136495962).

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

74031264 is a wasteful number, since it uses less digits than its factorization.

74031264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257069 (or 257058 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 74031264 is about 8604.1422582382. The cubic root of 74031264 is about 419.8927617369.

The spelling of 74031264 in words is "seventy-four million, thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 257053 514106 771159 1028212 1542318 2056424 2313477 3084636 4112848 4626954 6169272 8225696 9253908 12338544 18507816 24677088 37015632 74031264