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306949104 = 2432711193147
BaseRepresentation
bin10010010010111…
…010101111110000
3210101120122000100
4102102322233300
51112034332404
650242552400
710415011230
oct2222725760
9711518010
10306949104
111482a0450
1286968700
134b791ab7
142caa1cc0
151be32d39
hex124babf0

306949104 has 480 divisors, whose sum is σ = 1188495360. Its totient is φ = 71539200.

The previous prime is 306949103. The next prime is 306949109. The reversal of 306949104 is 401949603.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306949103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6530809 + ... + 6530855.

It is an arithmetic number, because the mean of its divisors is an integer number (2476032).

Almost surely, 2306949104 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 306949104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594247680).

306949104 is an abundant number, since it is smaller than the sum of its proper divisors (881546256).

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

306949104 is a wasteful number, since it uses less digits than its factorization.

306949104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 306949104 is about 17519.9630136596. The cubic root of 306949104 is about 674.5623896044.

It can be divided in two parts, 3069 and 49104, that multiplied together give a square (150700176 = 122762).

The spelling of 306949104 in words is "three hundred six million, nine hundred forty-nine thousand, one hundred four".