Search a number
-
+
306155136 = 2737253307
BaseRepresentation
bin10010001111111…
…000111010000000
3210100002021220010
4102033320322000
51111333431021
650213544520
710405163400
oct2217707200
9710067803
10306155136
111478a8981
1286645140
134b5745b1
142c936800
151bd27976
hex123f8e80

306155136 has 192 divisors, whose sum is σ = 966984480. Its totient is φ = 85542912.

The previous prime is 306155123. The next prime is 306155147. The reversal of 306155136 is 631551603.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 997095 + ... + 997401.

Almost surely, 2306155136 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 306155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483492240).

306155136 is an abundant number, since it is smaller than the sum of its proper divisors (660829344).

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

306155136 is a wasteful number, since it uses less digits than its factorization.

306155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 306155136 is about 17497.2893900741. The cubic root of 306155136 is about 673.9802698601.

The spelling of 306155136 in words is "three hundred six million, one hundred fifty-five thousand, one hundred thirty-six".