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309480000 = 263542579
BaseRepresentation
bin10010011100100…
…100101001000000
3210120100012202020
4102130210221000
51113211330000
650413121440
710445352024
oct2234445100
9716305666
10309480000
111497699a5
1287789280
134c169a7b
142d160384
151c282ba0
hex12724a40

309480000 has 140 divisors (see below), whose sum is σ = 1023609840. Its totient is φ = 82496000.

The previous prime is 309479977. The next prime is 309480001. The reversal of 309480000 is 84903.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (309480001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118711 + ... + 121289.

Almost surely, 2309480000 is an apocalyptic number.

309480000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511804920).

309480000 is an abundant number, since it is smaller than the sum of its proper divisors (714129840).

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

309480000 is an equidigital number, since it uses as much as digits as its factorization.

309480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 309480000 is about 17592.0436561532. The cubic root of 309480000 is about 676.4113132391.

The spelling of 309480000 in words is "three hundred nine million, four hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 2579 3000 3750 4000 4800 5000 5158 6000 7500 7737 8000 10000 10316 12000 12895 15000 15474 20000 20632 24000 25790 30000 30948 38685 40000 41264 51580 60000 61896 64475 77370 82528 103160 120000 123792 128950 154740 165056 193425 206320 247584 257900 309480 322375 386850 412640 495168 515800 618960 644750 773700 825280 967125 1031600 1237920 1289500 1547400 1611875 1934250 2063200 2475840 2579000 3094800 3223750 3868500 4126400 4835625 5158000 6189600 6447500 7737000 9671250 10316000 12379200 12895000 15474000 19342500 20632000 25790000 30948000 38685000 51580000 61896000 77370000 103160000 154740000 309480000