Search a number
-
+
307850928 = 243721173163
BaseRepresentation
bin10010010110010…
…110111010110000
3210110021110002020
4102112112322300
51112302212203
650314151440
710425455400
oct2226267260
9713243066
10307850928
11148856a60
1287122580
134ba19418
142cc58800
151c060153
hex12596eb0

307850928 has 240 divisors, whose sum is σ = 1029326976. Its totient is φ = 78382080.

The previous prime is 307850927. The next prime is 307850941. The reversal of 307850928 is 829058703.

It is a super-2 number, since 2×3078509282 = 189544387740922368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 307850928.

It is not an unprimeable number, because it can be changed into a prime (307850923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1888575 + ... + 1888737.

Almost surely, 2307850928 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 307850928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514663488).

307850928 is an abundant number, since it is smaller than the sum of its proper divisors (721476048).

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

307850928 is a wasteful number, since it uses less digits than its factorization.

307850928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 307850928 is about 17545.6811779993. The cubic root of 307850928 is about 675.2223706304. Note that the first 3 decimals are identical.

The spelling of 307850928 in words is "three hundred seven million, eight hundred fifty thousand, nine hundred twenty-eight".