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38094000 = 243537907
BaseRepresentation
bin1001000101010…
…0010010110000
32122200101010220
42101110102300
534223002000
63440253040
7641536140
oct221242260
978611126
1038094000
111a55964a
1210911180
137b7a139
1450b8920
1535271a0
hex24544b0

38094000 has 160 divisors (see below), whose sum is σ = 140514816. Its totient is φ = 8697600.

The previous prime is 38093987. The next prime is 38094029. The reversal of 38094000 is 49083.

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

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, 41547 + ... + 42453.

Almost surely, 238094000 is an apocalyptic number.

38094000 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 38094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70257408).

38094000 is an abundant number, since it is smaller than the sum of its proper divisors (102420816).

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

38094000 is a wasteful number, since it uses less digits than its factorization.

38094000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 924 counting only the distinct ones).

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

The square root of 38094000 is about 6172.0337004913. The cubic root of 38094000 is about 336.4745279283.

The spelling of 38094000 in words is "thirty-eight million, ninety-four thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 907 1000 1050 1200 1400 1500 1680 1750 1814 2000 2100 2625 2721 2800 3000 3500 3628 4200 4535 5250 5442 6000 6349 7000 7256 8400 9070 10500 10884 12698 13605 14000 14512 18140 19047 21000 21768 22675 25396 27210 31745 36280 38094 42000 43536 45350 50792 54420 63490 68025 72560 76188 90700 95235 101584 108840 113375 126980 136050 152376 158725 181400 190470 217680 226750 253960 272100 304752 317450 340125 362800 380940 453500 476175 507920 544200 634900 680250 761880 793625 907000 952350 1088400 1269800 1360500 1523760 1587250 1814000 1904700 2380875 2539600 2721000 3174500 3809400 4761750 5442000 6349000 7618800 9523500 12698000 19047000 38094000