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1994034800 = 245219594447
BaseRepresentation
bin111011011011010…
…1000111001110000
312010222010110111202
41312312220321300
513040433103200
6525511030332
7100262005352
oct16666507160
95128113452
101994034800
1193364294a
1247796b3a8
1325a169164
1414cb850d2
15ba0d51d5
hex76da8e70

1994034800 has 120 divisors (see below), whose sum is σ = 5129433600. Its totient is φ = 742659840.

The previous prime is 1994034799. The next prime is 1994034803. The reversal of 1994034800 is 84304991.

It is a super-2 number, since 2×19940348002 = 7952349567222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1994034803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446177 + ... + 450623.

It is an arithmetic number, because the mean of its divisors is an integer number (42745280).

Almost surely, 21994034800 is an apocalyptic number.

1994034800 is a gapful number since it is divisible by the number (10) 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 1994034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564716800).

1994034800 is an abundant number, since it is smaller than the sum of its proper divisors (3135398800).

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

1994034800 is a wasteful number, since it uses less digits than its factorization.

1994034800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1994034800 is about 44654.6167825904. The cubic root of 1994034800 is about 1258.6671889711.

The spelling of 1994034800 in words is "one billion, nine hundred ninety-four million, thirty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 59 76 80 95 100 118 152 190 200 236 295 304 380 400 472 475 590 760 944 950 1121 1180 1475 1520 1900 2242 2360 2950 3800 4447 4484 4720 5605 5900 7600 8894 8968 11210 11800 17788 17936 22235 22420 23600 28025 35576 44470 44840 56050 71152 84493 88940 89680 111175 112100 168986 177880 222350 224200 262373 337972 355760 422465 444700 448400 524746 675944 844930 889400 1049492 1311865 1351888 1689860 1778800 2098984 2112325 2623730 3379720 4197968 4224650 4985087 5247460 6559325 6759440 8449300 9970174 10494920 13118650 16898600 19940348 20989840 24925435 26237300 33797200 39880696 49850870 52474600 79761392 99701740 104949200 124627175 199403480 249254350 398806960 498508700 997017400 1994034800