Search a number
-
+
309495948 = 223173794003
BaseRepresentation
bin10010011100101…
…000100010001100
3210120101000121220
4102130220202030
51113212332243
650413323340
710445446356
oct2234504214
9716330556
10309495948
1114977a983
1287796550
134c1740c8
142d1660d6
151c287783
hex1272888c

309495948 has 48 divisors (see below), whose sum is σ = 766846080. Its totient is φ = 96816384.

The previous prime is 309495947. The next prime is 309496021. The reversal of 309495948 is 849594903.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 309495948.

It is not an unprimeable number, because it can be changed into a prime (309495947) 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 15 ways as a sum of consecutive naturals, for example, 75315 + ... + 79317.

It is an arithmetic number, because the mean of its divisors is an integer number (15975960).

Almost surely, 2309495948 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 309495948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383423040).

309495948 is an abundant number, since it is smaller than the sum of its proper divisors (457350132).

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

309495948 is a wasteful number, since it uses less digits than its factorization.

309495948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 309495948 is about 17592.4969234046. The cubic root of 309495948 is about 676.4229318923.

The spelling of 309495948 in words is "three hundred nine million, four hundred ninety-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 379 758 1137 1516 2274 4003 4548 6443 8006 12009 12886 16012 19329 24018 25772 38658 48036 68051 77316 136102 204153 272204 408306 816612 1517137 3034274 4551411 6068548 9102822 18205644 25791329 51582658 77373987 103165316 154747974 309495948