Search a number
-
+
73671336 = 23331720063
BaseRepresentation
bin1000110010000…
…10001010101000
312010121220002000
410121002022220
5122324440321
611151011000
71553124144
oct431021250
9163556060
1073671336
1138649402
1220809a60
131235590b
149ada224
156703826
hex46422a8

73671336 has 64 divisors (see below), whose sum is σ = 216691200. Its totient is φ = 23111424.

The previous prime is 73671331. The next prime is 73671337. The reversal of 73671336 is 63317637.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 73671336.

It is not an unprimeable number, because it can be changed into a prime (73671331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6360 + ... + 13703.

It is an arithmetic number, because the mean of its divisors is an integer number (3385800).

Almost surely, 273671336 is an apocalyptic number.

It is an amenable number.

73671336 is an abundant number, since it is smaller than the sum of its proper divisors (143019864).

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

73671336 is a wasteful number, since it uses less digits than its factorization.

73671336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20095 (or 20085 counting only the distinct ones).

The product of its digits is 47628, while the sum is 36.

The square root of 73671336 is about 8583.2008015658. The cubic root of 73671336 is about 419.2111724437.

The spelling of 73671336 in words is "seventy-three million, six hundred seventy-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 20063 40126 60189 80252 120378 160504 180567 240756 341071 361134 481512 541701 682142 722268 1023213 1083402 1364284 1444536 2046426 2166804 2728568 3069639 4092852 4333608 6139278 8185704 9208917 12278556 18417834 24557112 36835668 73671336