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307426000 = 2453723137
BaseRepresentation
bin10010010100101…
…111001011010000
3210102110212012011
4102110233023100
51112200113000
650301112304
710422035500
oct2224571320
9712425164
10307426000
11148596782
1286b58694
134b8cab9b
142cb87a00
151bec92ba
hex1252f2d0

307426000 has 120 divisors (see below), whose sum is σ = 864995976. Its totient is φ = 105369600.

The previous prime is 307425973. The next prime is 307426001. The reversal of 307426000 is 624703.

It can be written as a sum of positive squares in 4 ways, for example, as 7997584 + 299428416 = 2828^2 + 17304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307426001) 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 23 ways as a sum of consecutive naturals, for example, 96432 + ... + 99568.

Almost surely, 2307426000 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 307426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432497988).

307426000 is an abundant number, since it is smaller than the sum of its proper divisors (557569976).

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

307426000 is a wasteful number, since it uses less digits than its factorization.

307426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 307426000 is about 17533.5678057833. The cubic root of 307426000 is about 674.9115567705.

The spelling of 307426000 in words is "three hundred seven million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2450 2800 3137 3500 3920 4900 6125 6274 7000 9800 12250 12548 14000 15685 19600 21959 24500 25096 31370 43918 49000 50192 62740 78425 87836 98000 109795 125480 153713 156850 175672 219590 250960 307426 313700 351344 392125 439180 548975 614852 627400 768565 784250 878360 1097950 1229704 1254800 1537130 1568500 1756720 2195900 2459408 2744875 3074260 3137000 3842825 4391800 5489750 6148520 6274000 7685650 8783600 10979500 12297040 15371300 19214125 21959000 30742600 38428250 43918000 61485200 76856500 153713000 307426000