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378785000 = 2354117197
BaseRepresentation
bin10110100100111…
…100110011101000
3222101202021100002
4112210330303220
51233432110000
6101330402132
712246422306
oct2644746350
9871667302
10378785000
111848a5860
12a6a30348
1360624149
1438441276
15233c28d5
hex1693cce8

378785000 has 160 divisors (see below), whose sum is σ = 991932480. Its totient is φ = 134400000.

The previous prime is 378784981. The next prime is 378785023. The reversal of 378785000 is 587873.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3904952 + ... + 3905048.

It is an arithmetic number, because the mean of its divisors is an integer number (6199578).

Almost surely, 2378785000 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 378785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495966240).

378785000 is an abundant number, since it is smaller than the sum of its proper divisors (613147480).

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

378785000 is a wasteful number, since it uses less digits than its factorization.

378785000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 378785000 is about 19462.3996464979. The cubic root of 378785000 is about 723.5428521349.

The spelling of 378785000 in words is "three hundred seventy-eight million, seven hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 71 88 97 100 110 125 142 194 200 220 250 275 284 355 388 440 485 500 550 568 625 710 776 781 970 1000 1067 1100 1250 1375 1420 1562 1775 1940 2134 2200 2425 2500 2750 2840 3124 3550 3880 3905 4268 4850 5000 5335 5500 6248 6875 6887 7100 7810 8536 8875 9700 10670 11000 12125 13750 13774 14200 15620 17750 19400 19525 21340 24250 26675 27500 27548 31240 34435 35500 39050 42680 44375 48500 53350 55000 55096 60625 68870 71000 75757 78100 88750 97000 97625 106700 121250 133375 137740 151514 156200 172175 177500 195250 213400 242500 266750 275480 303028 344350 355000 378785 390500 485000 488125 533500 606056 666875 688700 757570 781000 860875 976250 1067000 1333750 1377400 1515140 1721750 1893925 1952500 2667500 3030280 3443500 3787850 3905000 4304375 5335000 6887000 7575700 8608750 9469625 15151400 17217500 18939250 34435000 37878500 47348125 75757000 94696250 189392500 378785000