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307347040 = 2557111319101
BaseRepresentation
bin10010010100011…
…011111001100000
3210102022211212201
4102110123321200
51112140101130
650255302544
710421256340
oct2224337140
9712284781
10307347040
11148542420
1286b1aa54
134b8a0c70
142cb66d20
151beb0bca
hex1251be60

307347040 has 384 divisors, whose sum is σ = 1036385280. Its totient is φ = 82944000.

The previous prime is 307347013. The next prime is 307347041. The reversal of 307347040 is 40743703.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307347041) 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 63 ways as a sum of consecutive naturals, for example, 3042990 + ... + 3043090.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2307347040 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 307347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518192640).

307347040 is an abundant number, since it is smaller than the sum of its proper divisors (729038240).

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

307347040 is a wasteful number, since it uses less digits than its factorization.

307347040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 307347040 is about 17531.3159802680. The cubic root of 307347040 is about 674.8537698780.

The spelling of 307347040 in words is "three hundred seven million, three hundred forty-seven thousand, forty".