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30818000 = 245319811
BaseRepresentation
bin111010110001…
…1111011010000
32010222201100102
41311203323100
530342134000
63020311532
7522643253
oct165437320
963881312
1030818000
111643a024
12a3a25a8
136500405
14414309a
152a8b3d5
hex1d63ed0

30818000 has 80 divisors (see below), whose sum is σ = 78536640. Its totient is φ = 11664000.

The previous prime is 30817987. The next prime is 30818009. The reversal of 30818000 is 81803.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30818009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37595 + ... + 38405.

It is an arithmetic number, because the mean of its divisors is an integer number (981708).

Almost surely, 230818000 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 30818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39268320).

30818000 is an abundant number, since it is smaller than the sum of its proper divisors (47718640).

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

30818000 is a wasteful number, since it uses less digits than its factorization.

30818000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 30818000 is about 5551.3962207719. The cubic root of 30818000 is about 313.5220933957.

Adding to 30818000 its reverse (81803), we get a palindrome (30899803).

The spelling of 30818000 in words is "thirty million, eight hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 811 950 1000 1520 1622 1900 2000 2375 3244 3800 4055 4750 6488 7600 8110 9500 12976 15409 16220 19000 20275 30818 32440 38000 40550 61636 64880 77045 81100 101375 123272 154090 162200 202750 246544 308180 324400 385225 405500 616360 770450 811000 1232720 1540900 1622000 1926125 3081800 3852250 6163600 7704500 15409000 30818000