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306949056 = 2631739241
BaseRepresentation
bin10010010010111…
…010101111000000
3210101120121221120
4102102322233000
51112034332211
650242552240
710415011131
oct2222725700
9711517846
10306949056
111482a0407
1286968680
134b791a7b
142caa1c88
151be32d06
hex124babc0

306949056 has 56 divisors (see below), whose sum is σ = 816918864. Its totient is φ = 101713920.

The previous prime is 306949051. The next prime is 306949063. The reversal of 306949056 is 650949603.

It is a super-2 number, since 2×3069490562 = 188435445958582272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 306948999 and 306949017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306949051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28596 + ... + 37836.

Almost surely, 2306949056 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 306949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408459432).

306949056 is an abundant number, since it is smaller than the sum of its proper divisors (509969808).

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

306949056 is a wasteful number, since it uses less digits than its factorization.

306949056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9429 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 306949056 is about 17519.9616437936. The cubic root of 306949056 is about 674.5623544422.

It can be divided in two parts, 3069 and 49056, that added together give a palindrome (52125).

The spelling of 306949056 in words is "three hundred six million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 346 519 692 1038 1384 2076 2768 4152 5536 8304 9241 11072 16608 18482 27723 33216 36964 55446 73928 110892 147856 221784 295712 443568 591424 887136 1598693 1774272 3197386 4796079 6394772 9592158 12789544 19184316 25579088 38368632 51158176 76737264 102316352 153474528 306949056