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307949000 = 23531013049
BaseRepresentation
bin10010010110101…
…110110111001000
3210110110102121112
4102112232313020
51112313332000
650320225452
710426344332
oct2226566710
9713412545
10307949000
11148913707
128716b288
134ba51c58
142cc82452
151c07e235
hex125aedc8

307949000 has 64 divisors (see below), whose sum is σ = 727974000. Its totient is φ = 121920000.

The previous prime is 307948973. The next prime is 307949003. The reversal of 307949000 is 949703.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18472804 + 289476196 = 4298^2 + 17014^2 .

It is not an unprimeable number, because it can be changed into a prime (307949003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99476 + ... + 102524.

Almost surely, 2307949000 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 307949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363987000).

307949000 is an abundant number, since it is smaller than the sum of its proper divisors (420025000).

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

307949000 is a wasteful number, since it uses less digits than its factorization.

307949000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 307949000 is about 17548.4757172810. The cubic root of 307949000 is about 675.2940648300.

The spelling of 307949000 in words is "three hundred seven million, nine hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 3049 4040 5050 6098 10100 12196 12625 15245 20200 24392 25250 30490 50500 60980 76225 101000 121960 152450 304900 307949 381125 609800 615898 762250 1231796 1524500 1539745 2463592 3049000 3079490 6158980 7698725 12317960 15397450 30794900 38493625 61589800 76987250 153974500 307949000