Search a number
-
+
307276144 = 24714918413
BaseRepresentation
bin10010010100001…
…010100101110000
3210102012020121221
4102110022211300
51112130314034
650253554424
710420542550
oct2224124560
9712166557
10307276144
111484a412a
1286aa5a14
134b877906
142cb49160
151be99bb4
hex1250a970

307276144 has 40 divisors (see below), whose sum is σ = 685000800. Its totient is φ = 130798848.

The previous prime is 307276133. The next prime is 307276153. The reversal of 307276144 is 441672703.

It is a congruent number.

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, 7482 + ... + 25894.

It is an arithmetic number, because the mean of its divisors is an integer number (17125020).

Almost surely, 2307276144 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 307276144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342500400).

307276144 is an abundant number, since it is smaller than the sum of its proper divisors (377724656).

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

307276144 is a wasteful number, since it uses less digits than its factorization.

307276144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18577 (or 18571 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 307276144 is about 17529.2938819566. The cubic root of 307276144 is about 674.8018761923.

The spelling of 307276144 in words is "three hundred seven million, two hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 596 1043 1192 2086 2384 4172 8344 16688 18413 36826 73652 128891 147304 257782 294608 515564 1031128 2062256 2743537 5487074 10974148 19204759 21948296 38409518 43896592 76819036 153638072 307276144