Search a number
-
+
307381936 = 24236471291
BaseRepresentation
bin10010010100100…
…100011010110000
3210102101121202011
4102110210122300
51112142210221
650300132304
710421463151
oct2224443260
9712347664
10307381936
11148566664
1286b37094
134b8b3b04
142cb75928
151bebb1e1
hex125246b0

307381936 has 40 divisors (see below), whose sum is σ = 622888704. Its totient is φ = 146667840.

The previous prime is 307381901. The next prime is 307381939. The reversal of 307381936 is 639183703.

It is not an unprimeable number, because it can be changed into a prime (307381939) by changing a digit.

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, 237451 + ... + 238741.

Almost surely, 2307381936 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 307381936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311444352).

307381936 is an abundant number, since it is smaller than the sum of its proper divisors (315506768).

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

307381936 is a wasteful number, since it uses less digits than its factorization.

307381936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 307381936 is about 17532.3111996108. The cubic root of 307381936 is about 674.8793097433.

The spelling of 307381936 in words is "three hundred seven million, three hundred eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 647 1291 1294 2582 2588 5164 5176 10328 10352 14881 20656 29693 29762 59386 59524 118772 119048 237544 238096 475088 835277 1670554 3341108 6682216 13364432 19211371 38422742 76845484 153690968 307381936