Search a number
-
+
309071376 = 2434238481
BaseRepresentation
bin10010011011000…
…000111000010000
3210112120110020000
4102123000320100
51113110241001
650400250000
710442030505
oct2233007020
9715513200
10309071376
1114950a999
1287610900
134c055a93
142d0954ac
151c201a86
hex126c0e10

309071376 has 50 divisors (see below), whose sum is σ = 894545982. Its totient is φ = 103023360.

The previous prime is 309071351. The next prime is 309071377. The reversal of 309071376 is 673170903.

It can be written as a sum of positive squares in only one way, i.e., 303595776 + 5475600 = 17424^2 + 2340^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 309071376.

It is not an unprimeable number, because it can be changed into a prime (309071377) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 117945 + ... + 120536.

Almost surely, 2309071376 is an apocalyptic number.

309071376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

309071376 is an abundant number, since it is smaller than the sum of its proper divisors (585474606).

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

309071376 is a wasteful number, since it uses less digits than its factorization.

309071376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238501 (or 238486 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 309071376 is about 17580.4259334067. The cubic root of 309071376 is about 676.1134807096.

The spelling of 309071376 in words is "three hundred nine million, seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 238481 476962 715443 953924 1430886 1907848 2146329 2861772 3815696 4292658 5723544 6438987 8585316 11447088 12877974 17170632 19316961 25755948 34341264 38633922 51511896 77267844 103023792 154535688 309071376