Search a number
-
+
67346320 = 2452333613
BaseRepresentation
bin1000000001110…
…01111110010000
311200201112210011
410000321332100
5114220040240
610403244304
71445301646
oct400717620
9150645704
1067346320
1135019318
121a679694
1310c4c9c2
148d31196
155da46ea
hex4039f90

67346320 has 40 divisors (see below), whose sum is σ = 157295736. Its totient is φ = 26815488.

The previous prime is 67346311. The next prime is 67346341. The reversal of 67346320 is 2364376.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 64192144 = 1776^2 + 8012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 16834 + ... + 20446.

Almost surely, 267346320 is an apocalyptic number.

It is an amenable number.

67346320 is an abundant number, since it is smaller than the sum of its proper divisors (89949416).

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

67346320 is a wasteful number, since it uses less digits than its factorization.

67346320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 67346320 is about 8206.4803661497. The cubic root of 67346320 is about 406.8534064282.

The spelling of 67346320 in words is "sixty-seven million, three hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 466 932 1165 1864 2330 3613 3728 4660 7226 9320 14452 18065 18640 28904 36130 57808 72260 144520 289040 841829 1683658 3367316 4209145 6734632 8418290 13469264 16836580 33673160 67346320