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328938306000 = 24353487112573
BaseRepresentation
bin1001100100101100100…
…00000011100111010000
31011110001021110021202020
410302112100003213100
520342131201243000
6411040121251440
732523253316403
oct4622620034720
91143037407666
10328938306000
11117558109977
1253900933b80
13250322657b5
1411cc657dd3a
158852ebbba0
hex4c964039d0

328938306000 has 160 divisors (see below), whose sum is σ = 1062684150528. Its totient is φ = 87535987200.

The previous prime is 328938305957. The next prime is 328938306041. The reversal of 328938306000 is 603839823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2865714 + ... + 2978286.

Almost surely, 2328938306000 is an apocalyptic number.

328938306000 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 328938306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531342075264).

328938306000 is an abundant number, since it is smaller than the sum of its proper divisors (733745844528).

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

328938306000 is a wasteful number, since it uses less digits than its factorization.

328938306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113086 (or 113070 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 328938306000 in words is "three hundred twenty-eight billion, nine hundred thirty-eight million, three hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 487 500 600 750 974 1000 1200 1461 1500 1948 2000 2435 2922 3000 3896 4870 5844 6000 7305 7792 9740 11688 12175 14610 19480 23376 24350 29220 36525 38960 48700 58440 60875 73050 97400 112573 116880 121750 146100 182625 194800 225146 243500 292200 337719 365250 450292 487000 562865 584400 675438 730500 900584 974000 1125730 1350876 1461000 1688595 1801168 2251460 2701752 2814325 2922000 3377190 4502920 5403504 5628650 6754380 8442975 9005840 11257300 13508760 14071625 16885950 22514600 27017520 28143250 33771900 42214875 45029200 54823051 56286500 67543800 84429750 109646102 112573000 135087600 164469153 168859500 219292204 225146000 274115255 328938306 337719000 438584408 548230510 657876612 675438000 822345765 877168816 1096461020 1315753224 1370576275 1644691530 2192922040 2631506448 2741152550 3289383060 4111728825 4385844080 5482305100 6578766120 6852881375 8223457650 10964610200 13157532240 13705762750 16446915300 20558644125 21929220400 27411525500 32893830600 41117288250 54823051000 65787661200 82234576500 109646102000 164469153000 328938306000