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307466240 = 212515013
BaseRepresentation
bin10010010100111…
…001000000000000
3210102112220101112
4102110321000000
51112202404430
650302022452
710422264014
oct2224710000
9712486345
10307466240
11148613a34
1286b77a28
134b9132b3
142cb98544
151bed6195
hex12539000

307466240 has 52 divisors (see below), whose sum is σ = 737878044. Its totient is φ = 122978304.

The previous prime is 307466239. The next prime is 307466249. The reversal of 307466240 is 42664703.

It can be written as a sum of positive squares in 2 ways, for example, as 168792064 + 138674176 = 12992^2 + 11776^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 307466197 and 307466206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307466249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12974 + ... + 27986.

Almost surely, 2307466240 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 307466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368939022).

307466240 is an abundant number, since it is smaller than the sum of its proper divisors (430411804).

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

307466240 is an equidigital number, since it uses as much as digits as its factorization.

307466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15042 (or 15020 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 307466240 is about 17534.7152814068. The cubic root of 307466240 is about 674.9410026168.

The spelling of 307466240 in words is "three hundred seven million, four hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 10240 15013 20480 30026 60052 75065 120104 150130 240208 300260 480416 600520 960832 1201040 1921664 2402080 3843328 4804160 7686656 9608320 15373312 19216640 30746624 38433280 61493248 76866560 153733120 307466240